Barnes-type Peters polynomial with umbral calculus viewpoint

Dae San Kim, Taekyun Kim, Hyuck In Kwon, Toufik Mansour, Jongjin Seo

Research output: Contribution to journalArticlepeer-review


In this paper, we consider the Barnes-type Peters polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials. MSC: 05A40, 11B83.

Original languageEnglish
Article number324
JournalJournal of Inequalities and Applications
Issue number1
StatePublished - 27 Dec 2014

Bibliographical note

Publisher Copyright:
© 2014, Kim et al.; licensee Springer.


  • Barnes-type Peters polynomials
  • umbral calculus

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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