%0 Journal Article
%T Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials
%A Kyung-Won Hwang
%A Young-Hee Kim
%A Taekyun Kim
%J Journal of Inequalities and Applications
%D 2009
%I Springer
%R 10.1155/2009/451217
%X The main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on  p. We define the q-¦Ë-Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of these polynomials. We define q-extensions of Apostol type's Euler polynomials of higher order using the multivariate fermionic p-adic integral on  p. We have the interpolation functions of these q-¦Ë-Euler polynomials. We also give (h,q)-extensions of Apostol's type Euler polynomials of higher order and have the multiple Hurwitz type zeta functions of these (h,q)-¦Ë-Euler polynomials.
%U http://dx.doi.org/10.1155/2009/451217