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On p-Adic Integral Representation of q-Bernoulli Numbers Arising from two Variable q-Bernstein Polynomials
Version 1
: Received: 28 July 2018 / Approved: 30 July 2018 / Online: 30 July 2018 (08:17:45 CEST)
A peer-reviewed article of this Preprint also exists.
Kim, D.S.; Kim, T.; Ryoo, C.S.; Yao, Y. On p-adic Integral Representation of q-Bernoulli Numbers Arising from Two Variable q-Bernstein Polynomials. Symmetry 2018, 10, 451. Kim, D.S.; Kim, T.; Ryoo, C.S.; Yao, Y. On p-adic Integral Representation of q-Bernoulli Numbers Arising from Two Variable q-Bernstein Polynomials. Symmetry 2018, 10, 451.
Abstract
In this paper, we study the p-adic integral representation on Zp of q-Bernoulli numbers arising from two variable q-Bernstein polynomials and investigate some properties for the q-Bernoulli numbers. In addition, we give some new identities of q-Bernoulli numbers.
Keywords
q-Bernoulli numbers; q-Bernoulli polynomials; Bernstein polynomials; q-Bernstein polynomials; p-adic integral on Zp
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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