A note on p-adic Carlitz's q-Bernoulli numbers

Author:

Kim Taekyun,Rim Seog-Hoon

Abstract

In a recent paper I have shown that Carlitz's q-Bernoulli number can be represented as an integral by the q-analogue μq of the ordinary p-adic invariant measure. In the p-adic case, J. Satoh could not determine the generating function of q-Bernoulli numbers. In this paper, we give the generating function of q-Bernoulli numbers in the p-adic case.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the Dirichlet’s type of Eulerian polynomials;Mathematical Sciences;2014-09

2. Some results for Carlitz’s q-Bernoulli numbers and polynomials;Applicable Analysis and Discrete Mathematics;2014

3. A note on Carlitz q-Bernoulli numbers and polynomials;Advances in Difference Equations;2012-04-13

4. Bibliography;Zeta and q-Zeta Functions and Associated Series and Integrals;2012

5. Carlitz’s q-Bernoulli and q-Euler numbers and polynomials and a class of generalized q-Hurwitz zeta functions;Applied Mathematics and Computation;2009-10

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