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A Series transformation formula and related degenerate polynomials

Number Theory 2021-12-17 v1

Abstract

Recently, Bovadzhiev studied a power series whose coefficients are binomial expressions and extended some known formulas involving classical special functions and polynomials. The aim of this paper is to adopt his ideas to express several identities involving " degenerate formal power series" as those including degenerate stirling numbers of the second kind, degenerate Bell polynomials, degenerate Fubini polynomials and degenerate poly-Bernoulli polynomials.

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Cite

@article{arxiv.2112.08573,
  title  = {A Series transformation formula and related degenerate polynomials},
  author = {Taekyun Kim and Dae San Kim},
  journal= {arXiv preprint arXiv:2112.08573},
  year   = {2021}
}

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17 pages