Computing a family of probabilistic numbers in terms of probabilistic Stirling numbers of the second kind

In this paper, we introduce the probabilistic Bernoulli numbers, Cauchy numbers, and Euler numbers of order α associated with the random variable Y, utilizing the generating function approach. Meanwhile, by employing important tools from combinatorial analysis, such as the partial Bell polynomials a...

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Bibliographic Details
Main Author: Aimin Xu
Format: Article
Language:English
Published: Taylor & Francis Group 2025-12-01
Series:Applied Mathematics in Science and Engineering
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Online Access:https://www.tandfonline.com/doi/10.1080/27690911.2025.2485250
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