On the behavior of two variable twisted p-adic Euler q-l-functions

Ozden H., CANGÜL İ. N., ŞİMŞEK Y.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.71, sa.12, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 12
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.na.2009.01.048
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: p-adic q-integral, Volkenborn integral, Twisted q-Euler numbers and polynomials, Euler q-l-functions, p-adic Euler q-l-functions, Q-ZETA-FUNCTIONS, Q-BERNOULLI NUMBERS, ANALYTIC CONTINUATION, Q-EXTENSION, Q-INTEGRALS, L-SERIES, Q-ANALOG, POLYNOMIALS, Z(P)
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we study on (h, q)-Euler-zeta and l-functions. We give relations between twisted (h, q)-partial zeta function twisted (h, q)-Euler-zeta and twisted two variable (h, q)-Euler l-functions. We also give the value of twisted two variable (h, q)-Euler l-function at s = 0. The main purpose of this paper is to construct two-variable twisted p-adic Euler (h, q)-l-function which interpolates twisted (h, q)-Euler polynomials at negative integers. We give p-adic fermionic integral representation of this functions. (C) 2009 Elsevier Ltd. All rights reserved.