Browse > Article
http://dx.doi.org/10.14317/jami.2011.29.1_2.511

ON THE SYMMETRY PROPERTIES OF THE GENERALIZED HIGHER-ORDER EULER POLYNOMIALS  

Bayad, Abdelmejid (Departement de mathematiques, Universite d'Evry Val d'Essone)
Kim, Tae-Kyun (Division of General Education-Mathematics, Kwangwoon University)
Choi, Jong-Sung (Division of General Education-Mathematics, Kwangwoon University)
Kim, Young-Hee (Division of General Education-Mathematics, Kwangwoon University)
Lee, Byung-Je (Department of Wireless Communications Engineering, Kwangwoon University)
Publication Information
Journal of applied mathematics & informatics / v.29, no.1_2, 2011 , pp. 511-516 More about this Journal
Abstract
In this paper we prove a generalized symmetry relation between the generalized Euler polynomials and the generalized higher-order (attached to Dirichlet character) Euler polynomials. Indeed, we prove a relation between the power sum polynomials and the generalized higher-order Euler polynomials..
Keywords
Euler polynomials; Euler numbers; symmetry;
Citations & Related Records
연도 인용수 순위
  • Reference
1 T. Kim, Symmetry p-adic invariant integral on Zp for Bernoulli and Euler polynomials, J. Difference Equ. Appl. 14(2008), 1267-1277.   DOI   ScienceOn
2 T. Kim, Symmetry identities for the twisted generalized Euler polynomials, Adv. Stud. Contemp. Math. 19(2009), 111-118.
3 T. Kim, Some identities of symmetry for the generalized Bernoulli numbers and polynomials, arXiv, http://arxiv.org/pdf/0903.2955. (2009).
4 T. Kim, Symmetry properties of the generalized higher-order Euler polynomials, Proc. Jangjeon Math. Soc. 13(2010), 13-16.
5 A. Bayad, Arithmetical properties of elliptic Bernoulli and Euler numbers, to appear in the International Journal of Algebra (2010).
6 L. C. Comtet, Advanced Combinatories, Reidel, Dordrecht, 1974.