Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order

  • Araci, Serkan (University of Gaziantep, Faculty of Science and Arts, Department of Mathematics) ;
  • Acikgoz, Mehmet (University of Gaziantep, Faculty of Science and Arts, Department of Mathematics) ;
  • Seo, Jong Jin (Department of Applied Mathematics, Pukyong National University)
  • Received : 2012.12.24
  • Accepted : 2013.04.04
  • Published : 2014.03.23
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Abstract

In the present paper, we introduce the new generalization of q-Genocchi polynomials and numbers of higher order. Also, we give some interesting identities. Finally, by applying q-Mellin transformation to the generating function for q-Genocchi polynomials of higher order put we define novel q-Hurwitz-Zeta type function which is an interpolation for this polynomials at negative integers.

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References

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