A note on the generalized q-Genocchi measures with weight

Authors

  • Hassan Jolany University of Tehran School of Mathematics, Statistics and Computer Science
  • Serkan Araci University of Gaziantep Faculty of Science and Arts Department of Mathematics
  • Mehmet Acikgoz University of Gaziantep Faculty of Science and Arts Department of Mathematics
  • Jong-Jin Seo Pukyong National University Department of Applied Mathematics

DOI:

https://doi.org/10.5269/bspm.v31i1.14184

Keywords:

Genocchi numbers and polynomals, q-Genocchi numbers and polynomials, q-Genocchi numbers and polynomials with weight alpha

Abstract

In this paper we investigate special generalized q-Genocchi measures. We introduce q-Genocchi measures with weight alpha. The present paper deals with q-extension of Genocchi measure. Some earlier results of T. Kim in terms of q-Genocchi polynomials can be deduced. We apply the method of generating function, which are exploited to derive further classes of q-Genocchi polynomials and develop q-Genocchi measures. To be more precise, we present the integral representation of p-adic q-Genocchi measure with weight alpha which yields a deeper insight into the effectiveness of this type of generalizations. Generalized q-Genocchi numbers with weight alpha possess a number of interesting properties which we state in this paper.

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Published

2011-10-21

Issue

Vol. 31 No. 1 (2013)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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