On the degenerate negative λ-binomial and Poisson random variables from degenerate special polynomials.
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| Title: | On the degenerate negative λ-binomial and Poisson random variables from degenerate special polynomials. |
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| Authors: | Kwon, Jongkyum1 (AUTHOR), Park, Sangbeom2 (AUTHOR), Park, Jin-Woo3 (AUTHOR) a0417001@daegu.ac.kr |
| Source: | Mathematical & Computer Modelling of Dynamical Systems. Dec2025, Vol. 31 Issue 1, p1-14. 14p. |
| Subjects: | Poisson distribution, Random variables, Combinatorics, Mathematical sequences, Polynomials, Conditional expectations |
| Abstract: | In this paper, we investigate the theory and applications of negative λ-binomial random variable with parameter $(r,p)$ (r , p) and Poisson random variable with parameter $\alpha $ α. 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. [ABSTRACT FROM AUTHOR] |
| Copyright of Mathematical & Computer Modelling of Dynamical Systems is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 190352323 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On the degenerate negative λ-binomial and Poisson random variables from degenerate special polynomials. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kwon%2C+Jongkyum%22">Kwon, Jongkyum</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Park%2C+Sangbeom%22">Park, Sangbeom</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Park%2C+Jin-Woo%22">Park, Jin-Woo</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> a0417001@daegu.ac.kr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mathematical+%26+Computer+Modelling+of+Dynamical+Systems%22">Mathematical & Computer Modelling of Dynamical Systems</searchLink>. Dec2025, Vol. 31 Issue 1, p1-14. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Poisson+distribution%22">Poisson distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Random+variables%22">Random variables</searchLink><br /><searchLink fieldCode="DE" term="%22Combinatorics%22">Combinatorics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+sequences%22">Mathematical sequences</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Conditional+expectations%22">Conditional expectations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we investigate the theory and applications of negative λ-binomial random variable with parameter $(r,p)$ (r , p) and Poisson random variable with parameter $\alpha $ α. 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. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mathematical & Computer Modelling of Dynamical Systems is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/13873954.2025.2468712 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 1 Subjects: – SubjectFull: Poisson distribution Type: general – SubjectFull: Random variables Type: general – SubjectFull: Combinatorics Type: general – SubjectFull: Mathematical sequences Type: general – SubjectFull: Polynomials Type: general – SubjectFull: Conditional expectations Type: general Titles: – TitleFull: On the degenerate negative λ-binomial and Poisson random variables from degenerate special polynomials. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kwon, Jongkyum – PersonEntity: Name: NameFull: Park, Sangbeom – PersonEntity: Name: NameFull: Park, Jin-Woo IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 13873954 Numbering: – Type: volume Value: 31 – Type: issue Value: 1 Titles: – TitleFull: Mathematical & Computer Modelling of Dynamical Systems Type: main |
| ResultId | 1 |
