On the generalization of the Euler polynomials with the real parameters

KARGIN L., Kurt V.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.3, ss.856-859, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.amc.2011.03.088
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.856-859
  • Anahtar Kelimeler: Euler polynomials, Multiplication formula, Alternating sums, BERNOULLI
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study, we give multiplication formula for generalized Euler polynomials of order alpha and obtain some explicit recursive formulas. The multiple alternating sums with positive real parameters a and b are evaluated in terms of both generalized Euler and generalized Bernoulli polynomials of order alpha. Finally we obtained some interesting special cases. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.