Open Access
2008 Multivariate Interpolation Functions of Higher-Order q -Euler Numbers and Their Applications
Hacer Ozden, Ismail Naci Cangul, Yilmaz Simsek
Abstr. Appl. Anal. 2008: 1-16 (2008). DOI: 10.1155/2008/390857


The aim of this paper, firstly, is to construct generating functions of q -Euler numbers and polynomials of higher order by applying the fermionic p -adic q -Volkenborn integral, secondly, to define multivariate q -Euler zeta function (Barnes-type Hurwitz q -Euler zeta function) and l -function which interpolate these numbers and polynomials at negative integers, respectively. We give relation between Barnes-type Hurwitz q -Euler zeta function and multivariate q -Euler l -function. Moreover, complete sums of products of these numbers and polynomials are found. We give some applications related to these numbers and functions as well.


Download Citation

Hacer Ozden. Ismail Naci Cangul. Yilmaz Simsek. "Multivariate Interpolation Functions of Higher-Order q -Euler Numbers and Their Applications." Abstr. Appl. Anal. 2008 1 - 16, 2008.


Published: 2008
First available in Project Euclid: 9 September 2008

zbMATH: 1140.11313
MathSciNet: MR2393118
Digital Object Identifier: 10.1155/2008/390857

Rights: Copyright © 2008 Hindawi

Vol.2008 • 2008
Back to Top