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.
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