Multivariate Interpolation Functions of Higher‐Order q‐Euler Numbers and Their Applications
Hacer Ozden,
Ismail Naci Cangul and
Yilmaz Simsek
Abstract and Applied Analysis, 2008, vol. 2008, issue 1
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.
Date: 2008
References: Add references at CitEc
Citations:
Downloads: (external link)
https://doi.org/10.1155/2008/390857
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2008:y:2008:i:1:n:390857
Access Statistics for this article
More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().