Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials. (23rd August 2009)

• Record Type: Journal Article
• Authors: Hwang, Kyung-Won; Kim, Young-Hee; Kim, Taekyun
• Other Names: Gupta Vijay Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2009(2009)
• Publication Date: 2009-08-23
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2009/451217
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : The main purpose of this paper is to present newq -extensions of Apostol's type Euler polynomials using the fermionicp -adic integral onℤ p . We define theq -λ -Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of these polynomials. We defineq -extensions of Apostol type's Euler polynomials of higher order using the multivariate fermionicp -adic integral onℤ p . We have the interpolation functions of theseq -λ -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 ) -λ -Euler polynomials.