Note on -Extensions of Euler Numbers and Polynomials of Higher Order

Autor: Jang Lee-Chae, Ryoo Cheon-Seoung, Kim Taekyun
Jazyk: angličtina
Rok vydání: 2008
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2008, Iss 1, p 371295 (2008)
Druh dokumentu: article
ISSN: 1025-5834
1029-242X
Popis: Abstract In 2007, Ozden et al. constructed generating functions of higher-order twisted -extension of Euler polynomials and numbers, by using -adic, -deformed fermionic integral on . By applying their generating functions, they derived the complete sums of products of the twisted -extension of Euler polynomials and numbers. In this paper, we consider the new -extension of Euler numbers and polynomials to be different which is treated by Ozden et al. From our -Euler numbers and polynomials, we derive some interesting identities and we construct -Euler zeta functions which interpolate the new -Euler numbers and polynomials at a negative integer. Furthermore, we study Barnes-type -Euler zeta functions. Finally, we will derive the new formula for "sums of products of -Euler numbers and polynomials" by using fermionic -adic, -integral on .
Databáze: Directory of Open Access Journals
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