TY - JOUR
A2 - Eloe, Paul
AU - Ozden, Hacer
AU - Cangul, Ismail Naci
AU - Simsek, Yilmaz
PY - 2008
DA - 2008/03/18
TI - Multivariate Interpolation Functions of Higher-Order -Euler Numbers and Their Applications
SP - 390857
VL - 2008
AB - 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.
SN - 1085-3375
UR - https://doi.org/10.1155/2008/390857
DO - 10.1155/2008/390857
JF - Abstract and Applied Analysis
PB - Hindawi Publishing Corporation
KW -
ER -