q-HARDY-BERNDT TYPE SUMS ASSOCIATED WITH q-GENOCCHI TYPE ZETA AND l-FUNCTIONS
نویسنده
چکیده
Abstract. The aim of this paper is to define new generating functions. By applying the Mellin transformation formula to these generating functions, we define q-analogue of Genocchi zeta function, q-analogue Hurwitz type Genocchi zeta function, q-analogue Genocchi type l-function and two-variable qGenocchi type l-function. Furthermore, we construct new genereting functions of q-Hardy-Berndt type sums and q-Hardy-Berndt type sums attached to Dirichlet character. We also give some new relations related to q-HardyBerndt type sums and q-Genocchi zeta function as well.
منابع مشابه
On the Hurwitz-type q-Genocchi Zeta Functions and q-Genocchi Polynomials
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In [2], we introduced the q-Genocchi numbers and polynomials with weak weight α. In this paper, we investigate some properties which are related to q-Genocchi numbers G (α) n,q and polynomials G (α) n,q (x) with weak weight α.
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