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

Funding Information:
The authors would like to thank the referees for their valuable comments. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MOE) (No. 2012R1A1A2003786) and was partially supported by Kwangwoon University in 2014.

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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