Abstract
The main purpose of this paper is to present a systemic study of some families of multiple Genocchi numbers and polynomials. In particular, by using the fermionic -adic invariant integral on , we construct -adic Genocchi numbers and polynomials of higher order. Finally, we derive the following interesting formula: , where are the -Genocchi polynomials of order .
Citation
Leechae Jang. Taekyun Kim. "-Genocchi Numbers and Polynomials Associated with Fermionic -Adic Invariant Integrals on ." Abstr. Appl. Anal. 2008 1 - 8, 2008. https://doi.org/10.1155/2008/232187
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