Research Article

On q-analogs of zeta functions associated with a pair of q-analogs of Bernoulli numbers and polynomials

Published in: Quaestiones Mathematicae
Volume 45 , issue 6 , 2022 , pages: 911–938

DOI: 10.2989/16073606.2021.1925366

Author(s): Ahmad El-Guindy , Egypt , Zeinab Mansour , Egypt

Keywords: 11B68 , 33E99 , 11B68 , 33E99

Abstract

In this paper, we use two different approaches to introduce q-analogs of Riemann’s zeta function and prove that their values at even integers are related to the q-Bernoulli and q-Euler’s numbers introduced by Ismail and Mansour [Analysis and Applications, 17(6) (2019), 853–895].

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