ON DEGENERATE q-BERNOULLI POLYNOMIALS

31 July 2016

journal article
Published by The Korean Mathematical Society in Bulletin of the Korean Mathematical Society

Vol. 53 (4) , 1149-1156
https://doi.org/10.4134/bkms.b150583

Abstract

ON DEGENERATE q-BERNOULLI POLYNOMIALS q-Bernoulli polynomial;degenerate Bernoulli polynomials;q-Volkenborn integral; In this paper, we introduce the degenerate Carlitz q-Bernoulli numbers and polynomials and give some interesting identities and properties of these numbers and polynomials which are derived from the generating functions and p-adic integral equations.

Keywords

Q-BERNOULLI POLYNOMIAL
DEGENERATE BERNOULLI POLYNOMIALS
Q-VOLKENBORN INTEGRAL

All Related Versions

Version 1, 2015-07-17, ArXiv (Unconfirmed version)
Version 1, 2018-06-17, ArXiv (Unconfirmed version)

This publication has 3 references indexed in Scilit:

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A degenerate Staudt-Clausen theorem
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q-Bernoulli numbers and polynomials
Duke Mathematical Journal, 1948