Preprint Article Version 1 This version is not peer-reviewed

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.

Journal reference: Symmetry 2018, 10, 451
DOI: 10.3390/sym10100451

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.

Subject Areas

q-Bernoulli numbers; q-Bernoulli polynomials; Bernstein polynomials; q-Bernstein polynomials; p-adic integral on Zp

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