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Keywords = two variable q-Berstein operator

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Article
On p-Adic Fermionic Integrals of q-Bernstein Polynomials Associated with q-Euler Numbers and Polynomials
by Lee-Chae Jang, Taekyun Kim, Dae San Kim and Dmitry Victorovich Dolgy
Symmetry 2018, 10(8), 311; https://doi.org/10.3390/sym10080311 - 1 Aug 2018
Cited by 3 | Viewed by 2748
Abstract
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Current Trends in Symmetric Polynomials with their Applications)
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