On the generalization of the Euler polynomials with the real parameters

KARGIN, LEVENT; Kurt, VELİ

doi:10.1016/j.amc.2011.03.088

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, Scopus)

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.