Multivariate interpolation functions of higher-order q-euler numbers and their applications
Date
2008
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
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.
Description
Keywords
Q)-bernoulli numbers, Twisted (h, Bernoulli, Products, Sums, Mathematics
Citation
Özden, H. vd. (2008). ''Multivariate interpolation functions of higher-order q-euler numbers and their applications''. Abstract and Applied Analysis.