On the generalization of the Euler polynomials with the real parameters

KARGIN L., Kurt V.

APPLIED MATHEMATICS AND COMPUTATION, vol.218, no.3, pp.856-859, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 218 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.1016/j.amc.2011.03.088
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.856-859
  • Keywords: Euler polynomials, Multiplication formula, Alternating sums, BERNOULLI
  • Akdeniz University Affiliated: Yes

Abstract

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.