## Abstract and Applied Analysis

### On Multiple Interpolation Functions of the Nörlund-Type $q$-Euler Polynomials

#### Abstract

In (2006) and (2009), Kim defined new generating functions of the Genocchi, Nörlund-type $q$-Euler polynomials and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type $q$-zeta function. This function interpolates Nörlund-type $q$-Euler polynomials at negative integers. We also give some identities related to these polynomials and functions. Furthermore, we give some remarks about approximations of Bernoulli and Euler polynomials.

#### Article information

Source
Abstr. Appl. Anal., Volume 2009 (2009), Article ID 382574, 14 pages.

Dates
First available in Project Euclid: 16 March 2010

https://projecteuclid.org/euclid.aaa/1268745567

Digital Object Identifier
doi:10.1155/2009/382574

Mathematical Reviews number (MathSciNet)
MR2516009

Zentralblatt MATH identifier
1194.11027

#### Citation

Acikgoz, Mehmet; Simsek, Yilmaz. On Multiple Interpolation Functions of the Nörlund-Type $q$ -Euler Polynomials. Abstr. Appl. Anal. 2009 (2009), Article ID 382574, 14 pages. doi:10.1155/2009/382574. https://projecteuclid.org/euclid.aaa/1268745567

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