A New approach to q-zeta function

2005/02/01 by Taekyun Kim, Kim, Taekyun · 1 citation
Mathematics · #11B68 #11S40 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S40

paper · pdf · doi:10.48550/arxiv.math/0502005

6pages

arxiv created 2005/02/01 · arxiv updated 2009/12/01

Abstract

We construct the new q-extension of Bernoulli numbers and polynomials in this paper. Finally we consider the q-zeta functions which interpolate the new q-extension of Bernoulli numbers and polynomials.

Cited by

• Hurwitz--Lerch Type Families of Poly-Bernoulli and Poly-Cauchy Numbers and Polynomials with Parameters (α,a)

Related

• q-Euler Numbers and Polynomials Associated with Basic Zeta Functions
• q-Bernoulli Numbers and Polynomials Associated with Multiple q-Zeta Functions and Basic L-series
• On q-analogs of zeta functions associated with a pair of q-analogs\n of Bernoulli numbers and polynomials
• On the (h,q)-zeta functions associated with (h,q)-Bernoulli numbers and polynomials
• q-Bernoulli Numbers and Zeros of q-Sine Function