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arXiv · 2405.13323

Probabilistic degenerate r-Stirling numbers of the second and probabilistic degenerate r-Bell polynomials

Taekyunj Kim·Dae San Kim
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Abstract

Assume that Y is a random variable whose moment generating function exists in a neighborhood of the origin. We study the probabilistic degenerate r-Stirling numbers of the second kind associated with Y and the probabilistic degenerate r-Bell polynomials associated with Y. They are respectively probabilistic extensions of the degenerate r-Stirling numbers of the second and the degenerate r-Bell polynomials which are studied earlier. The aim of this paper is to obtain their properties, explicit expressions and related identities by means of generating functions.

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Taekyunj Kim, Dae San Kim. 2024-05-22. Probabilistic degenerate r-Stirling numbers of the second and probabilistic degenerate r-Bell polynomials. https://arxiv.org/abs/2405.13323

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