Publication Date:
2018-08-02
Description:
Symmetry, Vol. 10, Pages 311: On p-Adic Fermionic Integrals of q-Bernstein Polynomials Associated with q-Euler Numbers and Polynomials † Symmetry doi: 10.3390/sym10080311 Authors: Lee-Chae Jang Taekyun Kim Dae San Kim Dmitry Victorovich Dolgy We study a q-analogue of Euler numbers and polynomials naturally arising from the p-adic fermionic integrals on Zp and investigate some properties for these numbers and polynomials. Then we will consider p-adic fermionic integrals on Zp of the two variable q-Bernstein polynomials, recently introduced by Kim, and demonstrate that they can be written in terms of the q-analogues of Euler numbers. Further, from such p-adic integrals we will derive some identities for the q-analogues of Euler numbers.
Electronic ISSN:
2073-8994
Topics:
Mathematics
,
Physics
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