q-Genocchi numbers and polynomials associated with q-Genocchi-type l-functions
ADVANCES IN DIFFERENCE EQUATIONS, vol.2008, 2008 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 2008
- Publication Date: 2008
- Doi Number: 10.1155/2008/815750
- Journal Name: ADVANCES IN DIFFERENCE EQUATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
The main purpose of this paper is to study on generating functions of the q-Genocchi numbers and polynomials. We prove new relation for the generalized q-Genocchi numbers which is related to the q-Genocchi numbers and q-Bernoulli numbers. By applying Mellin transformation and derivative operator to the generating functions, we define q-Genocchi zeta and l-functions, which are interpolated q-Genocchi numbers and polynomials at negative integers. We also give some applications of generalized q-Genocchi numbers. Copyright (c) 2008.