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
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https://doi.org/10.1155/2008/390857

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2008:y:2008:i:1:n:390857

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