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Advances in Difference Equations· 2013

On the generalized Apostol-type Frobenius-Euler polynomials

Burak Kurt, Yılmaz Şimşek

Short summary

New identities for generalized Frobenius-Euler polynomials are derived, establishing a connection between these polynomials and the generalized Hurwitz-Lerch zeta function at negative integers.

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Key points

  • Derivation of new identities for generalized Frobenius-Euler polynomials.
  • Establishment of a relation with the generalized Hurwitz-Lerch zeta function at negative integers.
  • Generalization of existing results by Carliz.

AI-generated from the title and abstract; the full text is not read.

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.

The authors' abstract, as published at the source. Advances in Difference Equations, 2013 · DOI ↗

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics