CERTAIN RESULTS ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS

Abstract

In this work, we deal with q-Genocchi numbers and polynomials. We derive not only new but also interesting properties of the q-Genocchi numbers and polynomials. Also, we give Cauchy-type integral formula of the q-Genocchi polynomials and derive distribution formula for the q-Genocchi polynomials. In the final part, we introduce a definition of q-Zeta-type function which is interpolation function of the q-Genocchi polynomials at negative integers which we express in the present paper.

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