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q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic
by
Taekyun Kim
| Venue: | Taekyun Kim EECS, Kyungpook National University, Taegu 702-701, S. Korea e-mail: tkim@knu.ac.kr; tkim64@hanmail.net |
| Citations: | 85 - 56 self |
BibTeX
@INPROCEEDINGS{Kim_q-bernoullinumbers,
author = {Taekyun Kim},
title = {q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic},
booktitle = {Taekyun Kim EECS, Kyungpook National University, Taegu 702-701, S. Korea e-mail: tkim@knu.ac.kr; tkim64@hanmail.net},
year = {}
}
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Abstract
Abstract. The first purpose of this paper is to present a systemic study of some families of multiple q-Bernoulli numbers and polynomials by using multivariate q-Volkenborn integral ( = p-adic q-integral) on Zp. From the studies of these q-Bernoulli numbers and polynomials of higher order we derive some interesting q-analogs of Stirling number identities. §1.
