On the modified q-Genocchi numbers and polynomials and their applications

The main objective of this paper is to introduce the modified q-Genocchi polynomials and to define their generating function. In the paper, we show new relations, which are explicit formula, derivative formula, multiplication formula, and some others, for mentioned q-Genocchi polynomials. By applyin...

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Bibliographic Details
Published inarXiv.org
Main Authors Araci, Serkan, Bagdasaryan, Armen, Agyuz, Erkan, Acikgoz, Mehmet
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 23.11.2013
Subjects
Functions (mathematics)
Integers
Mathematical analysis
Mellin transforms
Multiplication
Polynomials
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Summary:The main objective of this paper is to introduce the modified q-Genocchi polynomials and to define their generating function. In the paper, we show new relations, which are explicit formula, derivative formula, multiplication formula, and some others, for mentioned q-Genocchi polynomials. By applying Mellin transformation to the generating function of the modified q-Genocchi polynomials, we define q-Genocchi zeta-type functions which are interpolated by the modified q-Genocchi polynomials at negative integers.
ISSN:2331-8422