Some Properties of Multiple Generalized q -Genocchi Polynomials with Weight and Weak Weight

J. Y. Kang

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-13

Abstract:

The present paper deals with the various q -Genocchi numbers and polynomials. We define a new type of multiple generalized q -Genocchi numbers and polynomials with weight α and weak weight β by applying the method of p -adic q -integral. We will find a link between their numbers and polynomials with weight α and weak weight β . Also we will obtain the interesting properties of their numbers and polynomials with weight α and weak weight β . Moreover, we construct a Hurwitz-type zeta function which interpolates multiple generalized q -Genocchi polynomials with weight α and weak weight β and find some combinatorial relations.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:179385

DOI: 10.1155/2012/179385

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