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Probabilistic degenerate central Bell polynomials

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  • Li Chen
  • Taekyun Kim
  • Dae San Kim
  • Hyunseok Lee
  • Si-Hyeon Lee

Abstract

Assume that $Y$Y is a random variable whose moment generating function exists in a neighbourhood of the origin. In this paper, we study the probabilistic degenerate central Bell polynomials associated with $Y$Y, as probabilistic extension of the degenerate central Bell polynomials. In addition, we investigate the probabilistic degenerate central factorial numbers of the second kind associated with $Y$Y and the probabilistic degenerate central Fubini polynomials associated with $Y$Y. The aim of this paper is to derive some properties, explicit expressions, certain identities and recurrence relations for those polynomials and numbers.

Suggested Citation

  • Li Chen & Taekyun Kim & Dae San Kim & Hyunseok Lee & Si-Hyeon Lee, 2024. "Probabilistic degenerate central Bell polynomials," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 30(1), pages 523-542, December.
    • Handle: RePEc:taf:nmcmxx:v:30:y:2024:i:1:p:523-542
    DOI: 10.1080/13873954.2024.2358899
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