On the Symmetric Properties for the Generalized Twisted Genocchi Polynomials

Seog-Hoon Rim1, Joo-Hee Jeong1, Sun-Jung Lee2, Eun-Jung Moon2, JOUNG-HEE Jin2
1Department of Mathematics Education, Kyungpook National University, Daegu 702-701, 5. Korea
2Department of Mathematics, Kyungpook National University, Daegu 702-701, S. Korea

Abstract

In this paper, we study the symmetry for the generalized twisted Genocchi polynomials and numbers. We give some interesting identities of the power sums and the generalized twisted Genocchi polynomials using the symmetric properties for the \(p\)-adic invariant \(q\)-integral on \(\mathbb{Z}_p\).