A Unified Generating Function of the q-Genocchi Polynomials with their Interpolation Functions

Abstract

The purpose of this paper is to construct of the unification q-extension Genocchi polynomials. We give some interesting relations of this type of polynomials. Finally, we derive the q-extensions of Hurwitz-zeta type functions from the Mellin transformation of this generating function which interpolates the unification of q-extension of Genocchi polynomials.

References in corpus (5)

• On the multiple q-Genocchi and Euler numbers
• New identities involving q-Euler polynomials of higher order
• On the weighted q-Bernoulli numbers and polynomials
• On the Twisted q-Euler numbers and polynomials associated with basic q-l-functions
• Construction a new generating function of Bernstein type polynomials

Cited by in corpus (5)

• Higher-order Bernoulli, Frobenius-Euler and Euler polynomials
• A note on the modified q-Dedekind sums
• A note on Fermionic p-adic integrals on Zp and umbral calculus
• Higher Order Apostol-Type Poly-Genocchi Polynomials with Parameters a, b and c
• Extended Fermionic p-Adic q-Integrals On Zp In Connection With Applications Of Umbral Calculus