TY - JOUR
A2 - Atici, Ferhan
AU - Jang, Leechae
AU - Kim, Taekyun
PY - 2008
DA - 2008/05/13
TI - -Genocchi Numbers and Polynomials Associated with Fermionic -Adic Invariant Integrals on
SP - 232187
VL - 2008
AB - The main purpose of this paper is to present a systemic study of somefamilies of multiple Genocchi numbers and polynomials. In particular, by using thefermionic p-adic invariant integral on ℤp, we construct p-adic Genocchi numbers andpolynomials of higher order. Finally, we derive the following interesting formula: Gn+k,q(k)(x)=2kk!(n+kk)∑l=0∞∑d0+d1+⋯+dk=k−1,di∈ℕ(−1)l(l+x)n, where Gn+k,q(k)(x) are the q-Genocchi polynomials of order k.
SN - 1085-3375
UR - https://doi.org/10.1155/2008/232187
DO - 10.1155/2008/232187
JF - Abstract and Applied Analysis
PB - Hindawi Publishing Corporation
KW -
ER -