Modified Apostol-type polynomials arising from umbral calculus

Toufik Mansour, Hacer Ozden, Yilmaz Simsek

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 modified Apostol-type polynomials.

Original languageEnglish
Pages (from-to)175-182
Number of pages8
JournalAdvanced Studies in Contemporary Mathematics (Kyungshang)
Issue number2
StatePublished - Apr 2014


  • Apostol-type polynomials
  • Bernoulli polynomial
  • Bessel polynomial
  • Euler polynomial
  • Umbral calculus

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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