Abstract
Recently many mathematicians are working on Genocchi polynomials and Genocchi numbers. We define a new type of twisted q‐Genocchi numbers and polynomials with weight α and weak weight β and give some interesting relations of the twisted q‐Genocchi numbers and polynomials with weight α and weak weight β. Finally, we find relations between twisted q‐Genocchi zeta function and twisted Hurwitz q‐Genocchi zeta function.
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