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Degenerate central Bell numbers and polynomials

  • Taekyun KimEmail author
  • Dae San Kim
Original Paper
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Abstract

Here we study the degenerate central Bell numbers and polynomials as a degenerate version of the recently introduced central Bell numbers and polynomials, which are motivated by Zhang’s work ‘Some identities involving the Euler and the central factorial numbers’ (Zhang in Fibonacci Quart 36(2):154–157, 1998) and we derive some properties, identities, and recurrence relations for these numbers and polynomials. In particular, we find various expressions for the degenerate central Bell numbers and polynomials.

Keywords

Central factorial numbers Bell numbers Degenerate central Bell polynomials 

Mathematics Subject Classification

11B68 11B73 11B83 05A68 
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Notes

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Copyright information

© The Royal Academy of Sciences, Madrid 2019

Authors and Affiliations

  1. 1.Department of MathematicsKwangwoon UniversitySeoulRepublic of Korea
  2. 2.Department of MathematicsSogang UniversitySeoulRepublic of Korea

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