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Keywords = r-truncated degenerate λ-Stirling polynomials of the second kind

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11 pages, 236 KiB  
Article
Degenerate Stirling Polynomials of the Second Kind and Some Applications
by Taekyun Kim, Dae San Kim, Han Young Kim and Jongkyum Kwon
Symmetry 2019, 11(8), 1046; https://doi.org/10.3390/sym11081046 - 14 Aug 2019
Cited by 34 | Viewed by 3897
Abstract
Recently, the degenerate λ -Stirling polynomials of the second kind were introduced and investigated for their properties and relations. In this paper, we continue to study the degenerate λ -Stirling polynomials as well as the r-truncated degenerate λ -Stirling polynomials of the [...] Read more.
Recently, the degenerate λ -Stirling polynomials of the second kind were introduced and investigated for their properties and relations. In this paper, we continue to study the degenerate λ -Stirling polynomials as well as the r-truncated degenerate λ -Stirling polynomials of the second kind which are derived from generating functions and Newton’s formula. We derive recurrence relations and various expressions for them. Regarding applications, we show that both the degenerate λ -Stirling polynomials of the second and the r-truncated degenerate λ -Stirling polynomials of the second kind appear in the expressions of the probability distributions of appropriate random variables. Full article
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