Abstract and Applied Analysis

Multivariate Interpolation Functions of Higher-Order q -Euler Numbers and Their Applications

Hacer Ozden, Ismail Naci Cangul, and Yilmaz Simsek

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 390857, 16 pages.

Dates
First available in Project Euclid: 9 September 2008

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1220969153

Digital Object Identifier
doi:10.1155/2008/390857

Mathematical Reviews number (MathSciNet)
MR2393118

Zentralblatt MATH identifier
1140.11313

Citation

Ozden, Hacer; Cangul, Ismail Naci; Simsek, Yilmaz. Multivariate Interpolation Functions of Higher-Order $q$ -Euler Numbers and Their Applications. Abstr. Appl. Anal. 2008 (2008), Article ID 390857, 16 pages. doi:10.1155/2008/390857. https://projecteuclid.org/euclid.aaa/1220969153


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