%0 Journal Article
%T New Approach to -Euler Numbers and Polynomials
%A Kim Taekyun
%A Jang Lee-Chae
%A Kim Young-Hee
%A Rim Seog-Hoon
%J Advances in Difference Equations
%D 2010
%I Springer
%X We give a new construction of the -extensions of Euler numbers and polynomials. We present new generating functions which are related to the -Euler numbers and polynomials. We also consider the generalized -Euler polynomials attached to Dirichlet's character and have the generating functions of them. We obtain distribution relations for the -Euler polynomials and have some identities involving -Euler numbers and polynomials. Finally, we derive the -extensions of zeta functions from the Mellin transformation of these generating functions, which interpolate the -Euler polynomials at negative integers.
%U http://www.advancesindifferenceequations.com/content/2010/431436