A new approach to q-Genocchi numbers and their interpolation functions

CANGÜL İ. N., ÖZDEN AYNA H., 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.2008.11.040
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: p-adic q-deformed fermionic integral, Higher order twisted q-Genocchi numbers, Euler numbers, Bernoulli numbers, Interpolation functions, Q-EULER NUMBERS, Q-BERNOULLI NUMBERS, ADIC Q-INTEGRALS, Q)-BERNOULLI NUMBERS, TWISTED EULER, Q-EXTENSION, L-SERIES, POLYNOMIALS, PRODUCTS, (H
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The aim of this paper is to define generating functions of higher order q-Genocchi numbers by using a p-adic q-deformed fermionic integral on Z(p). We give Witt's type integral of these numbers. Furthermore we give the interpolation functions of these numbers. (C) 2008 Elsevier Ltd. All rights reserved.