q-Genocchi numbers and polynomials associated with q-Genocchi-type l-functions
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Date
2008
Authors
Şimşek, Yılmaz
Kurt, Veli
Kim, Daeyeoul
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
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.
Description
Keywords
Q-bernoulli numbers, Q-euler numbers, Basic l-series, Q-analog, Mathematics
Citation
Şimşek, Y. vd. (2008). "q-Genocchi numbers and polynomials associated with q-Genocchi-type l-functions". Advances in Difference Equations.