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Multivariate Interpolation Functions of Higher-Order ð ‘ž -Euler Numbers and Their Applications

Author

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  • Hacer Ozden
  • Ismail Naci Cangul
  • Yilmaz Simsek

Abstract

The aim of this paper, firstly, is to construct generating functions of ð ‘ž -Euler numbers and polynomials of higher order by applying the fermionic ð ‘ -adic ð ‘ž -Volkenborn integral, secondly, to define multivariate ð ‘ž -Euler zeta function (Barnes-type Hurwitz ð ‘ž -Euler zeta function) and ð ‘™ -function which interpolate these numbers and polynomials at negative integers, respectively. We give relation between Barnes-type Hurwitz ð ‘ž -Euler zeta function and multivariate ð ‘ž -Euler ð ‘™ -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.

Suggested Citation

  • Hacer Ozden & Ismail Naci Cangul & Yilmaz Simsek, 2008. "Multivariate Interpolation Functions of Higher-Order ð ‘ž -Euler Numbers and Their Applications," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-16, March.
    • Handle: RePEc:hin:jnlaaa:390857
    DOI: 10.1155/2008/390857
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