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

• Published in: arXiv.org
• Main Authors: Araci, Serkan, Bagdasaryan, Armen, Agyuz, Erkan, Acikgoz, Mehmet
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 23.11.2013
• Subjects: Functions (mathematics); Integers; Mathematical analysis; Mellin transforms; Multiplication; Polynomials

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...