Degenerate Poly-Bernoulli polynomials of the second kind

Dmitry V. Dolgy, Dae San Kim, Taekyun Kim, Toufik Mansour

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we introduce the degenerate poly-Bernoulli polynomials of the second kind, which reduce in the limit to the poly-Bernoulli polynomials of the second kind. 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.

Original languageAmerican English
Pages (from-to)954-966
Number of pages13
JournalJournal of Computational Analysis and Applications
Volume21
Issue number5
StatePublished - 2016

Keywords

  • Degenerate Poly-Bernoulli polynomials
  • Umbral calculus

All Science Journal Classification (ASJC) codes

  • Computational Mathematics

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