Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지
DOI QR코드

DOI QR Code

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)
  • 투고 : 2010.10.06
  • 심사 : 2010.11.05
  • 발행 : 2011.01.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

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..

키워드

과제정보

연구 과제 주관 기관 : Kwangwoon University

참고문헌

  1. A. Bayad, Arithmetical properties of elliptic Bernoulli and Euler numbers, to appear in the International Journal of Algebra (2010).
  2. L. C. Comtet, Advanced Combinatories, Reidel, Dordrecht, 1974.
  3. T. Kim, Symmetry p-adic invariant integral on Zp for Bernoulli and Euler polynomials, J. Difference Equ. Appl. 14(2008), 1267-1277. https://doi.org/10.1080/10236190801943220
  4. T. Kim, Symmetry identities for the twisted generalized Euler polynomials, Adv. Stud. Contemp. Math. 19(2009), 111-118.
  5. T. Kim, Some identities of symmetry for the generalized Bernoulli numbers and polynomials, arXiv, http://arxiv.org/pdf/0903.2955. (2009).
  6. T. Kim, Symmetry properties of the generalized higher-order Euler polynomials, Proc. Jangjeon Math. Soc. 13(2010), 13-16.