New Construction Weighted-Genocchi Numbers and Polynomials Related to Zeta Type Functions
Open Access
- 26 September 2011
- journal article
- research article
- Published by Hindawi Limited in Discrete Dynamics in Nature and Society
- Vol. 2011, 1-7
- https://doi.org/10.1155/2011/487490
Abstract
The fundamental aim of this paper is to construct (ℎ,𝑞)-Genocchi numbers and polynomials with weight 𝛼. We shall obtain some interesting relations by using 𝑝-adic 𝑞-integral on ℤ𝑝 in the sense of fermionic. Also, we shall derive the (ℎ,𝑞)-extensions of zeta type functions with weight 𝛼 from the Mellin transformation of this generating function which interpolates the (ℎ,𝑞)-Genocchi numbers and polynomials with weight 𝛼 at negative integers.Keywords
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