A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order
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In the present paper, we introduce thenew generalization of q-Genocchi polynomials and numbers ofhigher order. Also, we give some interesting identities. Finally, byapplying 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 forthis polynomials at negative integers.
Abstract
In the present paper, we introduce thenew generalization of q-Genocchi polynomials and numbers ofhigher order. Also, we give some interesting identities. Finally, byapplying 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 forthis polynomials at negative integers.
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