English

On the generalized higher-order q-Bernoulli numbers and polynomials

Number Theory 2010-08-10 v1

Abstract

In this paper we give some interesting equation of p-adic q-integrals on Zp. From those p-adic q-integrals, we present a systemic study of some families of extended Carlitz q-Bernoulli numbers and polynomials in p-adic number field.

Keywords

Cite

@article{arxiv.1008.1435,
  title  = {On the generalized higher-order q-Bernoulli numbers and polynomials},
  author = {T. Kim and Byungje Lee and C. S. Ryoo},
  journal= {arXiv preprint arXiv:1008.1435},
  year   = {2010}
}

Comments

12 pages

R2 v1 2026-06-21T15:58:26.233Z