On the degenerate negative λ-binomial and Poisson random variables from degenerate special polynomials
In this paper, we investigate the theory and applications of negative λ-binomial random variable with parameter [Formula: see text] and Poisson random variable with parameter [Formula: see text]. In particular, we show that the expectation of rising factorial sequences or degenerate rising factorial...
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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/10.1080/13873954.2025.2468712 |
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| Summary: | In this paper, we investigate the theory and applications of negative λ-binomial random variable with parameter [Formula: see text] and Poisson random variable with parameter [Formula: see text]. In particular, we show that the expectation of rising factorial sequences or degenerate rising factorial sequences of negative λ-binomial random variables or Poisson random variables are strongly related to Lah numbers, modified degenerate Lah-Bell polynomials, the Stirling numbers of the first kind and Bell polynomials. |
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| ISSN: | 1387-3954 1744-5051 |