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

2010/08/09 by T. Kim, Kim, T., Byungje Lee +3
Mathematics · #11B68 #11S80 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.1008.1435

12 pages

arxiv created 2010/08/09 · arxiv updated 2010/08/10

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.

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