Apostol-Euler polynomials arising from umbral calculus

Taekyun Kim, Toufik Mansour, Seog Hoon Rim, Sang Hun Lee

Research output: Contribution to journalArticlepeer-review


In this paper, by using the orthogonality type as defined in the umbral calculus, we derive an explicit formula for several well-known polynomials as a linear combination of the Apostol-Euler polynomials.

Original languageEnglish
Article number301
JournalAdvances in Difference Equations
StatePublished - Nov 2013

Bibliographical note

Funding Information:
This paper is supported in part by the Research Grant of Kwangwoon University in 2013.


  • Bernoulli polynomial
  • Bessel polynomial
  • Euler polynomial
  • Frobenius-Euler polynomial
  • Umbral calculus

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics


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