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

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  • J. Y. Kang

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.

Suggested Citation

  • J. Y. Kang, 2012. "Some Properties of Multiple Generalized q -Genocchi Polynomials with Weight and Weak Weight," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-13, September.
    • Handle: RePEc:hin:jijmms:179385
    DOI: 10.1155/2012/179385
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