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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

Abstract

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.

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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. https://doi.org/10.1155/2008/390857

Information

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

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