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

Ozden H., Simsek Y.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.56, sa.4, ss.898-908, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Sayı: 4
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.camwa.2008.01.020
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.898-908
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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: