On the generalized Apostol-type Frobenius-Euler polynomials

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Kurt B., ŞİMŞEK Y.

ADVANCES IN DIFFERENCE EQUATIONS, vol.2013, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2013
  • Publication Date: 2013
  • Doi Number: 10.1186/1687-1847-2013-1
  • Journal Name: ADVANCES IN DIFFERENCE EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Frobenius-Euler polynomials, Hermite-based Frobenius-Euler polynomials, Hermite-based Apostol-Euler polynomials, Apostol-Euler polynomials, Hurwitz-Lerch zeta function, BERNOULLI, NUMBERS
  • Akdeniz University Affiliated: Yes

Abstract

The aim of this paper is to derive some new identities related to the Frobenius-Euler polynomials. We also give relation between the generalized Frobenius-Euler polynomials and the generalized Hurwitz-Lerch zeta function at negative integers. Furthermore, our results give generalized Carliz's results which are associated with Frobenius-Euler polynomials.