Bull. Korean Math. Soc. 2016; 53(4): 1149-1156
Printed July 31, 2016
https://doi.org/10.4134/BKMS.b150583
Copyright © The Korean Mathematical Society.
Taekyun Kim
Kwangwoon University
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
MSC numbers: 05A10, 11B68, 11S80, 05A19
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