q-Genocchi numbers and polynomials associated with q-Genocchi-type l-functions


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ŞİMŞEK Y., CANGÜL İ. N., Kurt V., Kim D.

ADVANCES IN DIFFERENCE EQUATIONS, vol.2008, 2008 (SCI-Expanded) identifier identifier

  • 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
  • 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.