Probabilistic degenerate poly-Bell polynomials associated with random variables
Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable [Formula: see text], arising from the degenerate polyexponen...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2025-12-01
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| Series: | Mathematical and Computer Modelling of Dynamical Systems |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/13873954.2025.2497367 |
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| Summary: | Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable [Formula: see text], arising from the degenerate polyexponential functions, which are probabilistic extensions of degenerate versions of the poly-Bell polynomials. We derive several explicit expressions and some related identities for them. In addition, we consider the special cases that [Formula: see text] is the Bernoulli random variable with probability of success [Formula: see text] or the gamma random variable with shape parameter 1 and scale parameter 1. |
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| ISSN: | 1387-3954 1744-5051 |