THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS
نویسندگان
چکیده
منابع مشابه
q-ANALOGUE OF EULER-BARNES MULTIPLE ZETA FUNCTIONS
Recently (see [1]) I has introduced an interesting the Euler-Barnes multiple zeta function. In this paper we construct the q-analogue of Euler-Barnes multiple zeta function which interpolates the q-analogue of Frobenius-Euler numbers of higher order at negative integers. §
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Recently, λ-Bernoulli and λ-Euler numbers are studied in [5, 10]. The purpose of this paper is to present a systematic study of some families of the q-extensions of the λBernoulli and the λ-Euler numbers by using the bosonic p-adic q-integral and the fermionic p-adic q-integral. The investigation of these λ-q-Bernoulli and λ-q-Euler numbers leads to interesting identities related to these objec...
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tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Our aim in this paper is to discover special symmetric properties for twisted q-Genocchi polynomials. We are going to find a symmetric identity for twisted q-Genocchi zeta function. From property of the twis...
متن کاملq-EULER NUMBERS AND POLYNOMIALS ASSOCIATED WITH BASIC ZETA FUNCTIONS
Throughout this paper Zp, Qp, C and Cp will respectively denote the ring of p-adic rational integers, the field of p-adic rational numbers, the complex number field and the completion of algebraic closure of Qp. The p-adic absolute value in Cp is normalized so that |p|p = 1 p . When one talks of q-extension, q is variously considered as an indeterminate, a complex number q ∈ C or a p-adic numbe...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2010
ISSN: 1015-8634
DOI: 10.4134/bkms.2010.47.6.1181