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2008 q -Genocchi Numbers and Polynomials Associated with Fermionic p -Adic Invariant Integrals on p
Leechae Jang, Taekyun Kim
Abstr. Appl. Anal. 2008: 1-8 (2008). DOI: 10.1155/2008/232187

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 p -adic invariant integral on p , we construct p -adic Genocchi numbers and polynomials of higher order. Finally, we derive the following interesting formula: G n + k , q ( k ) ( x ) = 2 k k ! ( n + k k ) l = 0 d 0 + d 1 + + d k = k 1 , d i ( 1 ) l ( l + x ) n , where G n + k , q ( k ) ( x ) are the q -Genocchi polynomials of order k .

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Leechae Jang. Taekyun Kim. " q -Genocchi Numbers and Polynomials Associated with Fermionic p -Adic Invariant Integrals on p ." Abstr. Appl. Anal. 2008 1 - 8, 2008. https://doi.org/10.1155/2008/232187

Information

Published: 2008
First available in Project Euclid: 9 September 2008

zbMATH: 1149.11010
MathSciNet: MR2407281
Digital Object Identifier: 10.1155/2008/232187

Rights: Copyright © 2008 Hindawi

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