Journal Description
Axioms
Axioms
is an international, peer-reviewed, open access journal of mathematics, mathematical logic and mathematical physics, published monthly online by MDPI. The European Society for Fuzzy Logic and Technology (EUSFLAT), International Fuzzy Systems Association (IFSA) and Union of Slovak Mathematicians and Physicists (JSMF) are affiliated with Axioms and their members receive discounts on the article processing charges.
- Open Access— free for readers, with article processing charges (APC) paid by authors or their institutions.
- High visibility: indexed within SCIE (Web of Science), dblp, and other databases.
- Journal Rank: JCR - Q2 (Mathematics, Applied)
- Rapid Publication: manuscripts are peer-reviewed and a first decision is provided to authors approximately 21.8 days after submission; acceptance to publication is undertaken in 2.8 days (median values for papers published in this journal in the second half of 2023).
- Recognition of Reviewers: reviewers who provide timely, thorough peer-review reports receive vouchers entitling them to a discount on the APC of their next publication in any MDPI journal, in appreciation of the work done.
- Companion journal: Logics.
Impact Factor:
2.0 (2022);
5-Year Impact Factor:
1.9 (2022)
Latest Articles
Bivariate Random Coefficient Integer-Valued Autoregressive Model Based on a ρ-Thinning Operator
Axioms 2024, 13(6), 367; https://doi.org/10.3390/axioms13060367 (registering DOI) - 29 May 2024
Abstract
While overdispersion is a common phenomenon in univariate count time series data, its exploration within bivariate contexts remains limited. To fill this gap, we propose a bivariate integer-valued autoregressive model. The model leverages a modified binomial thinning operator with a dispersion parameter
[...] Read more.
While overdispersion is a common phenomenon in univariate count time series data, its exploration within bivariate contexts remains limited. To fill this gap, we propose a bivariate integer-valued autoregressive model. The model leverages a modified binomial thinning operator with a dispersion parameter and integrates random coefficients. This approach combines characteristics from both binomial and negative binomial thinning operators, thereby offering a flexible framework capable of generating counting series exhibiting equidispersion, overdispersion, or underdispersion. Notably, our model includes two distinct classes of first-order bivariate geometric integer-valued autoregressive models: one class employs binomial thinning (BVGINAR(1)), and the other adopts negative binomial thinning (BVNGINAR(1)). We establish the stationarity and ergodicity of the model and estimate its parameters using a combination of the Yule–Walker (YW) and conditional maximum likelihood (CML) methods. Furthermore, Monte Carlo simulation experiments are conducted to evaluate the finite sample performances of the proposed estimators across various parameter configurations, and the Anderson-Darling (AD) test is employed to assess the asymptotic normality of the estimators under large sample sizes. Ultimately, we highlight the practical applicability of the examined model by analyzing two real-world datasets on crime counts in New South Wales (NSW) and comparing its performance with other popular overdispersed BINAR(1) models.
Full article
(This article belongs to the Section Mathematical Analysis)
Open AccessArticle
Certain New Applications of Symmetric q-Calculus for New Subclasses of Multivalent Functions Associated with the Cardioid Domain
by
Hari M. Srivastava, Daniel Breaz, Shahid Khan and Fairouz Tchier
Axioms 2024, 13(6), 366; https://doi.org/10.3390/axioms13060366 (registering DOI) - 29 May 2024
Abstract
In this work, we study some new applications of symmetric quantum calculus in the field of Geometric Function Theory. We use the cardioid domain and the symmetric quantum difference operator to generate new classes of multivalent q-starlike and q-convex functions. We
[...] Read more.
In this work, we study some new applications of symmetric quantum calculus in the field of Geometric Function Theory. We use the cardioid domain and the symmetric quantum difference operator to generate new classes of multivalent q-starlike and q-convex functions. We examine a wide range of interesting properties for functions that can be classified into these newly defined classes, such as estimates for the bounds for the first two coefficients, Fekete–Szego-type functional and coefficient inequalities. All the results found in this research are sharp. A number of well-known corollaries are additionally taken into consideration to show how the findings of this research relate to those of earlier studies.
Full article
(This article belongs to the Special Issue Advances in Geometric Function Theory and Related Topics)
Open AccessArticle
Analyzing Richtmyer–Meshkov Phenomena Triggered by Forward-Triangular Light Gas Bubbles: A Numerical Perspective
by
Satyvir Singh and Ahmed Hussein Msmali
Axioms 2024, 13(6), 365; https://doi.org/10.3390/axioms13060365 - 29 May 2024
Abstract
In this paper, we present a numerical investigation into elucidating the complex dynamics of Richtmyer–Meshkov (RM) phenomena initiated by the interaction of shock waves with forward-triangular light gas bubbles. The triangular bubble is filled with neon, helium, or hydrogen gas, and is surrounded
[...] Read more.
In this paper, we present a numerical investigation into elucidating the complex dynamics of Richtmyer–Meshkov (RM) phenomena initiated by the interaction of shock waves with forward-triangular light gas bubbles. The triangular bubble is filled with neon, helium, or hydrogen gas, and is surrounded by nitrogen gas. Three different shock Mach numbers are considered: and 1.41. For the numerical simulations, a two-dimensional system of compressible Euler equations for two-component gas flows is solved by utilizing the high-fidelity explicit modal discontinuous Galerkin technique. For validation, the numerical results are compared with the existing experimental results and are found to be in good agreement. The numerical model explores the impact of the Atwood number on the underlying mechanisms of the shock-induced forward-triangle bubble, encompassing aspects such as flow evolution, wave characteristics, jet formation, generation of vorticity, interface features, and integral diagnostics. Furthermore, the impacts of shock strengths and positive Atwood numbers on the flow evolution are also analyzed. Insights gained from this numerical perspective enhance our understanding of RM phenomena triggered by forward-triangular light gas bubbles, with implications for diverse applications in engineering, astrophysics, and fusion research.
Full article
(This article belongs to the Special Issue Fluid Dynamics: Mathematics and Numerical Experiment)
►▼
Show Figures
Figure 1
Open AccessArticle
Finding Set Extreme 3-Uniform Hypergraphs Cardinality through Second-Order Signatures
by
Evgeniya Egorova, Vladislav Leonov, Aleksey Mokryakov and Vladimir Tsurkov
Axioms 2024, 13(6), 364; https://doi.org/10.3390/axioms13060364 - 29 May 2024
Abstract
This paper continues the study of second-order signature properties—the characterization of the extreme 3-uniform hypergraph. Previously, bases were used to count extreme 3-uniform hypergraphs. However, the algorithm using this mechanism is extremely labor-intensive. The structure of the signature allows us to use it
[...] Read more.
This paper continues the study of second-order signature properties—the characterization of the extreme 3-uniform hypergraph. Previously, bases were used to count extreme 3-uniform hypergraphs. However, the algorithm using this mechanism is extremely labor-intensive. The structure of the signature allows us to use it as a more efficient basis for the same problem. Here, we establish the nature of the mutual correspondence between the kind of second-order signature and extreme hypergraphs, and we present a new algorithm to find the power of the set of extreme 3-uniform hypergraphs through the set of their characteristic-signatures. New results obtained with the proposed tool are also presented.
Full article
(This article belongs to the Special Issue Advances in Graph Theory and Combinatorial Optimization)
►▼
Show Figures
Figure 1
Open AccessArticle
Perturbed Dirac Operators and Boundary Value Problems
by
Xiaopeng Liu and Yuanyuan Liu
Axioms 2024, 13(6), 363; https://doi.org/10.3390/axioms13060363 - 29 May 2024
Abstract
In this paper, the time-independent Klein-Gordon equation in is treated with a decomposition of the operator by the Clifford algebra . Some properties of integral operators associated the
[...] Read more.
In this paper, the time-independent Klein-Gordon equation in is treated with a decomposition of the operator by the Clifford algebra . Some properties of integral operators associated the kind of equations and some Riemann-Hilbert boundary value problems for perturbed Dirac operators are investigated.
Full article
(This article belongs to the Special Issue Differential Equations and Its Application)
Open AccessArticle
Steady Solutions to Equations of Viscous Compressible Multifluids
by
Alexander Mamontov and Dmitriy Prokudin
Axioms 2024, 13(6), 362; https://doi.org/10.3390/axioms13060362 - 28 May 2024
Abstract
For the differential equations of the barotropic dynamics of compressible viscous multifluids in a bounded three-dimensional domain with an immobile rigid boundary, a study of the solvability of the boundary value problem is made. Weak generalized solutions to the boundary value problem are
[...] Read more.
For the differential equations of the barotropic dynamics of compressible viscous multifluids in a bounded three-dimensional domain with an immobile rigid boundary, a study of the solvability of the boundary value problem is made. Weak generalized solutions to the boundary value problem are shown to exist with weak constraints on the types of viscosity matrices and constitutive equations for pressure and momentum exchange.
Full article
(This article belongs to the Special Issue Fluid Dynamics: Mathematics and Numerical Experiment)
Open AccessArticle
Multi-Strategy-Improved Growth Optimizer and Its Applications
by
Rongxiang Xie, Liya Yu, Shaobo Li, Fengbin Wu, Tao Zhang and Panliang Yuan
Axioms 2024, 13(6), 361; https://doi.org/10.3390/axioms13060361 - 28 May 2024
Abstract
The growth optimizer (GO) is a novel metaheuristic algorithm designed to tackle complex optimization problems. Despite its advantages of simplicity and high efficiency, GO often encounters localized stagnation when dealing with discretized, high-dimensional, and multi-constraint problems. To address these issues, this paper proposes
[...] Read more.
The growth optimizer (GO) is a novel metaheuristic algorithm designed to tackle complex optimization problems. Despite its advantages of simplicity and high efficiency, GO often encounters localized stagnation when dealing with discretized, high-dimensional, and multi-constraint problems. To address these issues, this paper proposes an enhanced version of GO called CODGBGO. This algorithm incorporates three strategies to enhance its performance. Firstly, the Circle-OBL initialization strategy is employed to enhance the quality of the initial population. Secondly, an exploration strategy is implemented to improve population diversity and the algorithm’s ability to escape local optimum traps. Finally, the exploitation strategy is utilized to enhance the convergence speed and accuracy of the algorithm. To validate the performance of CODGBGO, it is applied to solve the CEC2017, CEC2020, 18 feature selection problems, and 4 real engineering optimization problems. The experiments demonstrate that the novel CODGBGO algorithm effectively addresses the challenges posed by complex optimization problems, offering a promising approach.
Full article
(This article belongs to the Special Issue Advances in Mathematical Optimization Algorithms and Its Applications)
Open AccessArticle
Skew Cyclic and Skew Constacyclic Codes over a Mixed Alphabet
by
Karthick Gowdhaman, Cruz Mohan, Chinnapillai Durairajan, Selda Çalkavur and Patrick Solé
Axioms 2024, 13(6), 360; https://doi.org/10.3390/axioms13060360 - 28 May 2024
Abstract
In this note, we study skew cyclic and skew constacyclic codes over the mixed alphabet , where p is an odd prime with m odd and
[...] Read more.
In this note, we study skew cyclic and skew constacyclic codes over the mixed alphabet , where p is an odd prime with m odd and with , and with Such codes consist of the juxtaposition of three codes of the same size over and , respectively. We investigate the generator polynomial for skew cyclic codes over . Furthermore, we discuss the structural properties of the skew cyclic and skew constacyclic codes over We also study their q-ary images under suitable Gray maps.
Full article
Open AccessArticle
Generalized Bounded Turning Functions Connected with Gregory Coefficients
by
Huo Tang, Zeeshan Mujahid, Nazar Khan, Fairouz Tchier and Muhammad Ghaffar Khan
Axioms 2024, 13(6), 359; https://doi.org/10.3390/axioms13060359 - 28 May 2024
Abstract
In this research article, we introduce new family of holomorphic functions, which is related to the generalized bounded turning and generating functions of Gregory coefficients. Leveraging the concept of functions with positive real parts, we acquire the first five coefficients for
[...] Read more.
In this research article, we introduce new family of holomorphic functions, which is related to the generalized bounded turning and generating functions of Gregory coefficients. Leveraging the concept of functions with positive real parts, we acquire the first five coefficients for the functions belonging to this newly defined family, demonstrating their sharpness. Furthermore, we find the third Hankel determinant for functions in the class . Moreover, the sharp bounds for logarithmic and inverse coefficients of functions belonging to the under-considered class are estimated.
Full article
(This article belongs to the Special Issue New Developments in Geometric Function Theory III)
Open AccessArticle
On the Kantorovich Theory for Nonsingular and Singular Equations
by
Ioannis K. Argyros, Santhosh George, Samundra Regmi and Michael I. Argyros
Axioms 2024, 13(6), 358; https://doi.org/10.3390/axioms13060358 - 28 May 2024
Abstract
We develop a new Kantorovich-like convergence analysis of Newton-type methods to solve nonsingular and singular nonlinear equations in Banach spaces. The outer or generalized inverses are exchanged by a finite sum of linear operators making the implementation of these methods easier than in
[...] Read more.
We develop a new Kantorovich-like convergence analysis of Newton-type methods to solve nonsingular and singular nonlinear equations in Banach spaces. The outer or generalized inverses are exchanged by a finite sum of linear operators making the implementation of these methods easier than in earlier studies. The analysis uses relaxed generalized continuity of the derivatives of operators involved required to control the derivative and on real majorizing sequences. The same approach can also be implemented on other iterative methods with inverses. The examples complement the theory by verifying the convergence conditions and demonstrating the performance of the methods.
Full article
(This article belongs to the Special Issue Differential Equations and Inverse Problems)
Open AccessArticle
An Intuitionistic Fuzzy Multi-Criteria Approach for Prioritizing Failures That Cause Overproduction: A Case Study in Process Manufacturing
by
Ranka Sudžum, Snežana Nestić, Nikola Komatina and Milija Kraišnik
Axioms 2024, 13(6), 357; https://doi.org/10.3390/axioms13060357 - 27 May 2024
Abstract
Overproduction is one of the most significant wastes of Lean that can occur in any manufacturing company. Identifying and prioritizing failures that lead to overproduction are crucial tasks for operational managers and engineers. Therefore, this paper presents a new approach for determining the
[...] Read more.
Overproduction is one of the most significant wastes of Lean that can occur in any manufacturing company. Identifying and prioritizing failures that lead to overproduction are crucial tasks for operational managers and engineers. Therefore, this paper presents a new approach for determining the priority of failures that cause overproduction, based on an intuitionistic fuzzy Multi-Criteria Optimization model and the Failure Mode and Effects Analysis framework. The existing vagueness in the relative importance of risk factors and their values is described using natural language words, which are modeled with trapezoidal intuitionistic fuzzy numbers. Determining the relative importance of risk factors is defined as a fuzzy group decision-making problem, and the weight vector is obtained by applying the proposed Analytical Hierarchy Process with trapezoidal intuitionistic fuzzy numbers. The compromise solution, as well as the stability check of the obtained compromise solution, is achieved using the proposed Multi-Criteria Optimization and Compromise Solution with trapezoidal intuitionistic fuzzy numbers. The proposed model was applied to data collected from a process manufacturing company.
Full article
(This article belongs to the Special Issue Editorial Board Members’ Collection Series: Fuzzy Modeling, Optimization and Computational Intelligence)
Open AccessArticle
New Nonlinear Retarded Integral Inequalities and Their Applications to Nonlinear Retarded Integro-Differential Equations
by
Mahvish Samar, Xinzhong Zhu, Abdul Shakoor and Mawia Osman
Axioms 2024, 13(6), 356; https://doi.org/10.3390/axioms13060356 - 27 May 2024
Abstract
The purpose of this article is to present some new nonlinear retarded integral inequalities which can be utilized to study the existence, stability, boundedness, uniqueness, and asymptotic behavior of solutions of nonlinear retarded integro-differential equations, and these inequalities can be used in the
[...] Read more.
The purpose of this article is to present some new nonlinear retarded integral inequalities which can be utilized to study the existence, stability, boundedness, uniqueness, and asymptotic behavior of solutions of nonlinear retarded integro-differential equations, and these inequalities can be used in the symmetrical properties of functions. These inequalities also generalize some former famous inequalities in the literature. Two examples as applications will be provided to demonstrate the strength of our inequalities in estimating the boundedness and global existence of the solution to initial value problems for nonlinear integro-differential equations and differential equations which can be seen in graphs. This research work will ensure opening new opportunities for studying nonlinear dynamic inequalities on a time-scale structure of a varying nature.
Full article
(This article belongs to the Special Issue Advances in Difference Equations)
►▼
Show Figures
Figure 1
Open AccessArticle
Randomly Stopped Sums, Minima and Maxima for Heavy-Tailed and Light-Tailed Distributions
by
Remigijus Leipus, Jonas Šiaulys, Svetlana Danilenko and Jūratė Karasevičienė
Axioms 2024, 13(6), 355; https://doi.org/10.3390/axioms13060355 - 25 May 2024
Abstract
This paper investigates the randomly stopped sums, minima and maxima of heavy- and light-tailed random variables. The conditions on the primary random variables, which are independent but generally not identically distributed, and counting random variable are given in order that the randomly stopped
[...] Read more.
This paper investigates the randomly stopped sums, minima and maxima of heavy- and light-tailed random variables. The conditions on the primary random variables, which are independent but generally not identically distributed, and counting random variable are given in order that the randomly stopped sum, random minimum and maximum is heavy/light tailed. The results generalize some existing ones in the literature. The examples illustrating the results are provided.
Full article
(This article belongs to the Special Issue Stochastic Modeling and Optimization Techniques)
Open AccessArticle
One-Dimensional BSDEs with Jumps and Logarithmic Growth
by
El Mountasar Billah Bouhadjar, Nabil Khelfallah and Mhamed Eddahbi
Axioms 2024, 13(6), 354; https://doi.org/10.3390/axioms13060354 - 24 May 2024
Abstract
In this study, we explore backward stochastic differential equations driven by a Poisson process and an independent Brownian motion, denoted for short as BSDEJs. The generator exhibits logarithmic growth in both the state variable and the Brownian component while maintaining Lipschitz continuity with
[...] Read more.
In this study, we explore backward stochastic differential equations driven by a Poisson process and an independent Brownian motion, denoted for short as BSDEJs. The generator exhibits logarithmic growth in both the state variable and the Brownian component while maintaining Lipschitz continuity with respect to the jump component. Our study rigorously establishes the existence and uniqueness of solutions within suitable functional spaces. Additionally, we relax the Lipschitz condition on the Poisson component, permitting the generator to exhibit logarithmic growth with respect to all variables. Taking a step further, we employ an exponential transformation to establish an equivalence between a solution of a BSDEJ exhibiting quadratic growth in the z-variable and a BSDEJ showing a logarithmic growth with respect to y and z.
Full article
(This article belongs to the Special Issue Stochastic Modeling and Its Analysis)
Open AccessArticle
Dynamical Behaviors of Stochastic SIS Epidemic Model with Ornstein–Uhlenbeck Process
by
Huina Zhang, Jianguo Sun, Peng Yu and Daqing Jiang
Axioms 2024, 13(6), 353; https://doi.org/10.3390/axioms13060353 - 24 May 2024
Abstract
Controlling infectious diseases has become an increasingly complex issue, and vaccination has become a common preventive measure to reduce infection rates. It has been thought that vaccination protects the population. However, there is no fully effective vaccine. This is based on the fact
[...] Read more.
Controlling infectious diseases has become an increasingly complex issue, and vaccination has become a common preventive measure to reduce infection rates. It has been thought that vaccination protects the population. However, there is no fully effective vaccine. This is based on the fact that it has long been assumed that the immune system produces corresponding antibodies after vaccination, but usually does not achieve the level of complete protection for undergoing environmental fluctuations. In this paper, we investigate a stochastic SIS epidemic model with incomplete inoculation, which is perturbed by the Ornstein–Uhlenbeck process and Brownian motion. We determine the existence of a unique global solution for the stochastic SIS epidemic model and derive control conditions for the extinction. By constructing two suitable Lyapunov functions and using the ergodicity of the Ornstein–Uhlenbeck process, we establish sufficient conditions for the existence of stationary distribution, which means the disease will prevail. Furthermore, we obtain the exact expression of the probability density function near the pseudo-equilibrium point of the stochastic model while addressing the four-dimensional Fokker–Planck equation under the same conditions. Finally, we conduct several numerical simulations to validate the theoretical results.
Full article
(This article belongs to the Special Issue Advances in Dynamical Systems and Control)
Open AccessArticle
An Introduction to Extended Gevrey Regularity
by
Nenad Teofanov, Filip Tomić and Milica Žigić
Axioms 2024, 13(6), 352; https://doi.org/10.3390/axioms13060352 - 24 May 2024
Abstract
Gevrey classes are the most common choice when considering the regularities of smooth functions that are not analytic. However, in various situations, it is important to consider smoothness properties that go beyond Gevrey regularity, for example, when initial value problems are ill-posed in
[...] Read more.
Gevrey classes are the most common choice when considering the regularities of smooth functions that are not analytic. However, in various situations, it is important to consider smoothness properties that go beyond Gevrey regularity, for example, when initial value problems are ill-posed in Gevrey settings. In this paper, we consider a convenient framework for studying smooth functions that possess weaker regularity than any Gevrey function. Since the available literature on this topic is scattered, our aim is to provide an overview of extended Gevrey regularity, highlighting its most important features. Additionally, we consider related dual spaces of ultra distributions and review some results on micro-local analysis in the context of extended Gevrey regularity. We conclude the paper with a few selected applications that may motivate further study of the topic.
Full article
(This article belongs to the Special Issue Research on Functional Analysis and Its Applications)
Open AccessArticle
Some Remarks Regarding Special Elements in Algebras Obtained by the Cayley–Dickson Process over Zp
by
Cristina Flaut and Andreea Baias
Axioms 2024, 13(6), 351; https://doi.org/10.3390/axioms13060351 - 24 May 2024
Abstract
In this paper, we provide some properties of k-potent elements in algebras obtained by the Cayley–Dickson process over . Moreover, we find a structure of nonunitary ring over Fibonacci quaternions over and we present a method to encrypt
[...] Read more.
In this paper, we provide some properties of k-potent elements in algebras obtained by the Cayley–Dickson process over . Moreover, we find a structure of nonunitary ring over Fibonacci quaternions over and we present a method to encrypt plain texts, by using invertible elements in some of these algebras.
Full article
(This article belongs to the Special Issue Advances in Classical and Applied Mathematics)
Open AccessEditorial
Editorial Conclusion for the Special Issue “New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization”
by
Wei-Shih Du
Axioms 2024, 13(6), 350; https://doi.org/10.3390/axioms13060350 - 24 May 2024
Abstract
Nonlinear analysis has widespread and significant applications in many areas at the core of many branches of pure and applied mathematics and modern science, including nonlinear ordinary and partial differential equations, critical point theory, functional analysis, fixed point theory, nonlinear optimization, fractional calculus,
[...] Read more.
Nonlinear analysis has widespread and significant applications in many areas at the core of many branches of pure and applied mathematics and modern science, including nonlinear ordinary and partial differential equations, critical point theory, functional analysis, fixed point theory, nonlinear optimization, fractional calculus, variational analysis, convex analysis, dynamical system theory, mathematical economics, data mining, signal processing, control theory, and many more [...]
Full article
(This article belongs to the Special Issue New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization)
Open AccessArticle
Isoptic Point of the Complete Quadrangle
by
Ema Jurkin, Marija Šimić Horvath and Vladimir Volenec
Axioms 2024, 13(6), 349; https://doi.org/10.3390/axioms13060349 - 24 May 2024
Abstract
In this paper, we study the complete quadrangle. We started this investigation in a few of our previous papers. In those papers and here, the rectangular coordinates are used to enable us to prove the properties of the rich geometry of a quadrangle
[...] Read more.
In this paper, we study the complete quadrangle. We started this investigation in a few of our previous papers. In those papers and here, the rectangular coordinates are used to enable us to prove the properties of the rich geometry of a quadrangle using the same method. Now, we are focused on the isoptic point of the complete quadrangle , which is the inverse point to and with respect to circumscribed circles of the triangles , , , and , respectively, where and are isogonal points to and D with respect to these triangles. In studying the properties of the quadrangle regarding its isoptic point, some new results are obtained as well.
Full article
(This article belongs to the Special Issue Advances in Geometry and Its Applications)
►▼
Show Figures
Figure 1
Open AccessArticle
On Certain Properties of Parametric Kinds of Apostol-Type Frobenius–Euler–Fibonacci Polynomials
by
Hao Guan, Waseem Ahmad Khan, Can Kızılateş and Cheon Seoung Ryoo
Axioms 2024, 13(6), 348; https://doi.org/10.3390/axioms13060348 - 24 May 2024
Abstract
This paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials. By applying a partial derivative operator to the generating functions, the authors obtain derivative formulae and finite combinatorial sums involving
[...] Read more.
This paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials. By applying a partial derivative operator to the generating functions, the authors obtain derivative formulae and finite combinatorial sums involving these polynomials and numbers. Additionally, the paper establishes connections between cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials of order and several other polynomial sequences, such as the Apostol-type Bernoulli–Fibonacci polynomials, the Apostol-type Euler–Fibonacci polynomials, the Apostol-type Genocchi–Fibonacci polynomials, and the Stirling–Fibonacci numbers of the second kind. The authors also provide computational formulae and graphical representations of these polynomials using the Mathematica program.
Full article
(This article belongs to the Special Issue Fractional and Stochastic Differential Equations in Mathematics)
►▼
Show Figures
Figure 1
Journal Menu
► ▼ Journal Menu-
- Axioms Home
- Aims & Scope
- Editorial Board
- Reviewer Board
- Topical Advisory Panel
- Instructions for Authors
- Special Issues
- Topics
- Sections & Collections
- Article Processing Charge
- Indexing & Archiving
- Editor’s Choice Articles
- Most Cited & Viewed
- Journal Statistics
- Journal History
- Journal Awards
- Society Collaborations
- Editorial Office
Journal Browser
► ▼ Journal BrowserHighly Accessed Articles
Latest Books
E-Mail Alert
News
Topics
Topic in
Axioms, Computation, MCA, Mathematics, Symmetry
Mathematical Modeling
Topic Editors: Babak Shiri, Zahra AlijaniDeadline: 31 May 2024
Topic in
Algorithms, Axioms, Fractal Fract, Mathematics, Symmetry
Fractal and Design of Multipoint Iterative Methods for Nonlinear Problems
Topic Editors: Xiaofeng Wang, Fazlollah SoleymaniDeadline: 30 June 2024
Topic in
Crystals, Mathematics, Symmetry, Fractal Fract, Axioms
Mathematical Applications of Nonlinear Wave Properties in Crystalline and Dispersive Media
Topic Editors: Mahmoud A.E. Abdelrahman, Emad El-ShewyDeadline: 31 August 2024
Topic in
Entropy, Fractal Fract, Dynamics, Mathematics, Computation, Axioms
Advances in Nonlinear Dynamics: Methods and Applications
Topic Editors: Ravi P. Agarwal, Maria Alessandra RagusaDeadline: 20 October 2024
Conferences
Special Issues
Special Issue in
Axioms
Discrete Curvatures and Laplacians
Guest Editors: David Xianfeng Gu, Emil SaucanDeadline: 31 May 2024
Special Issue in
Axioms
The Application of Fuzzy Decision-Making Theory and Method
Guest Editors: Jun Ye, Yanhui Guo, Shuping WanDeadline: 20 June 2024
Special Issue in
Axioms
Symmetry of Nonlinear Operators
Guest Editors: Gheorghita Zbaganu, Emanuel GuarigliaDeadline: 1 July 2024
Special Issue in
Axioms
Advances in Numerical Analysis and Meshless Methods
Guest Editor: Lintian LuhDeadline: 20 July 2024
Topical Collections
Topical Collection in
Axioms
Mathematical Analysis and Applications
Collection Editor: Hari Mohan Srivastava
Topical Collection in
Axioms
Differential Equations and Dynamical Systems
Collection Editor: Feliz Manuel Minhós