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A Note on Some Identities of Frobenius-Euler Numbers and Polynomials (2012)

J. Choi, D. S. Kim, T. Kim, and Y. H. Kim

Hindawi

In: International Journal of Mathematics and Mathematical Sciences

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Publication Date: 2012-03-16

Description: The purpose of this paper is to give some identities on the Frobenius-Euler numbers and polynomials by using the fermionic p-adic q-integral equation on ℤp.

Print ISSN: 0161-1712

Electronic ISSN: 1687-0425

Topics: Mathematics

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Generalized Derivations in Semiprime Gamma Rings (2012)

Kalyan Kumar Dey, Akhil Chandra Paul, and Isamiddin S. Rakhimov

Hindawi

In: International Journal of Mathematics and Mathematical Sciences

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Publication Date: 2012-02-17

Description: Let M be a 2-torsion-free semiprime Γ-ring satisfying the condition aαbβc=aβbαc for all a,b,c∈M, α,β∈Γ, and let D:M→M be an additive mapping such that D(xαx)=D(x)αx+xαd(x) for all x∈M, α∈Γ and for some derivation d of M. We prove that D is a generalized derivation.

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Electronic ISSN: 1687-0425

Topics: Mathematics

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Polynomials in Control Theory Parametrized by Their Roots (2012)

Baltazar Aguirre-Hernández, José Luis Cisneros-Molina, and Martín-Eduardo Frías-Armenta

Hindawi

In: International Journal of Mathematics and Mathematical Sciences

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Publication Date: 2012-12-25

Description: The aim of this paper is to introduce the space of roots to study the topological properties of the spaces of polynomials. Instead of identifying a monic complex polynomial with the vector of its coefficients, we identify it with the set of its roots. Viète's map gives a homeomorphism between the space of roots and the space of coefficients and it gives an explicit formula to relate both spaces. Using this viewpoint we establish that the space of monic (Schur or Hurwitz) aperiodic polynomials is contractible. Additionally we obtain a Boundary Theorem.

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Electronic ISSN: 1687-0425

Topics: Mathematics

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A Convolution Approach on Partial Sums of Certain Harmonic Univalent Functions (2012)

Saurabh Porwal

Hindawi

In: International Journal of Mathematics and Mathematical Sciences

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Publication Date: 2012-11-12

Description: The purpose of the present paper is to establish some new results giving the sharp bounds of the real parts of ratios of harmonic univalent functions to their sequences of partial sums by using convolution. Relevant connections of the results presented here with various known results are briefly indicated.

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Electronic ISSN: 1687-0425

Topics: Mathematics

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Norm for Sums of Two Basic Elementary Operators (2012)

A. Bachir, F. Lombarkia, and A. Segres

Hindawi

In: International Journal of Mathematics and Mathematical Sciences

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Publication Date: 2012-12-09

Description: We give necessary and sufficient conditions under which the norm of basic elementary operators attains its optimal value in terms of the numerical range.

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Topics: Mathematics

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Two Sufficient Conditions for Hamilton and Dominating Cycles (2012)

Zh. G. Nikoghosyan

Hindawi

In: International Journal of Mathematics and Mathematical Sciences

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Publication Date: 2012-12-11

Description: We prove that if is a 2-connect graph of size (the number of edges) and minimum degree with , where when and when , then each longest cycle in is a dominating cycle. The exact analog of this theorem for Hamilton cycles follows easily from two known results according to Dirac and Nash-Williams: each graph with is hamiltonian. Both results are sharp in all respects.

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Topics: Mathematics

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Asymmetric Information and Quantization in Financial Economics (2012)

Raymond J. Hawkins and B. Roy Frieden

Hindawi

In: International Journal of Mathematics and Mathematical Sciences

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Publication Date: 2012-12-12

Description: We show how a quantum formulation of financial economics can be derived from asymmetries with respect to Fisher information. Our approach leverages statistical derivations of quantum mechanics which provide a natural basis for interpreting quantum formulations of social sciences generally and of economics in particular. We illustrate the utility of this approach by deriving arbitrage-free derivative-security dynamics.

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Topics: Mathematics

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Solution of Fuzzy Matrix Equation System (2012)

Mahmood Otadi and Maryam Mosleh

Hindawi

In: International Journal of Mathematics and Mathematical Sciences

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Publication Date: 2012-09-26

Description: The main is to develop a method to solve an arbitrary fuzzy matrix equation system by using the embedding approach. Considering the existing solution to fuzzy matrix equation system is done. To illustrate the proposed model a numerical example is given, and obtained results are discussed.

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Topics: Mathematics

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Fixed Point of -Hardy-Rogers Contractive Mappings in Partially Ordered Partial Metric Spaces (2012)

Mujahid Abbas, Hassen Aydi, and Stojan Radenović

Hindawi

In: International Journal of Mathematics and Mathematical Sciences

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Publication Date: 2012-09-29

Description: We prove some fixed point theorems for a T-Hardy-Rogers contraction in the setting of partially ordered partial metric spaces. We apply our results to study periodic point problems for such mappings. We also provide examples to illustrate the results presented herein.

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Topics: Mathematics

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