Interpolation function of the (h, q)-extension of twisted Euler numbers


Ozden H., Simsek Y.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.56, no.4, pp.898-908, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 4
  • Publication Date: 2008
  • Doi Number: 10.1016/j.camwa.2008.01.020
  • Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.898-908
  • Keywords: p-adic q-deformed fermionic integral, Twisted q-Euler numbers and polynomials, Zeta and l-functions, Twisted p-adic (h, q)-l-functions, ADIC Q-INTEGRALS, Q-BERNOULLI POLYNOMIALS, Q-ANALOG, Q)-BERNOULLI NUMBERS, L-SERIES, BEHAVIOR, Z(P)
  • Akdeniz University Affiliated: Yes

Abstract

In [H. Ozden, Y. Simsek, I.N. Cangul, Generating functions of the (h, q)-extension of Euler polynomials and numbers, Acta Math. Hungarica, in press (doi:10.1007/510474-008-7139-1)], by using p-adic q-invariant integral on Z(P) in the fermionic sense, Ozden et al. constructed generating functions of the (h, q)-extension of Euler polynomials and numbers. They defined (h, q)-Euler zeta functions and (h, q)-Euler l-functions. They also raised the following problem: "Find a p-adic twisted interpolation function of the generalized twisted (h, q)-Eider numbers, E-n.chi.w((h))(q)". The aim of this paper is to give a partial answer to this problem. Therefore, we constructed twisted (h, q)-partial zeta function and twisted p-adic (h, q)-Euler l-functions: