Probabilistic degenerate central Bell polynomials
Assume that [Formula: see text] is a random variable whose moment generating function exists in a neighbourhood of the origin. In this paper, we study the probabilistic degenerate central Bell polynomials associated with [Formula: see text], as probabilistic extension of the degenerate central Bell...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Mathematical and Computer Modelling of Dynamical Systems |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/13873954.2024.2358899 |
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| author | Li Chen Taekyun Kim Dae San Kim Hyunseok Lee Si-Hyeon Lee |
| author_facet | Li Chen Taekyun Kim Dae San Kim Hyunseok Lee Si-Hyeon Lee |
| author_sort | Li Chen |
| collection | DOAJ |
| description | Assume that [Formula: see text] is a random variable whose moment generating function exists in a neighbourhood of the origin. In this paper, we study the probabilistic degenerate central Bell polynomials associated with [Formula: see text], as probabilistic extension of the degenerate central Bell polynomials. In addition, we investigate the probabilistic degenerate central factorial numbers of the second kind associated with [Formula: see text] and the probabilistic degenerate central Fubini polynomials associated with [Formula: see text]. The aim of this paper is to derive some properties, explicit expressions, certain identities and recurrence relations for those polynomials and numbers. |
| format | Article |
| id | doaj-art-96ef0fd5d6ad4069940ccc5944bdba3f |
| institution | Kabale University |
| issn | 1387-3954 1744-5051 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Mathematical and Computer Modelling of Dynamical Systems |
| spelling | doaj-art-96ef0fd5d6ad4069940ccc5944bdba3f2024-12-12T14:07:39ZengTaylor & Francis GroupMathematical and Computer Modelling of Dynamical Systems1387-39541744-50512024-12-0130152354210.1080/13873954.2024.2358899Probabilistic degenerate central Bell polynomialsLi Chen0Taekyun Kim1Dae San Kim2Hyunseok Lee3Si-Hyeon Lee4School of Mathematics, Xi’an University of Finance and Economics, Xi’an, ChinaDepartment of Mathematics, Kwangwoon University, Seoul, Republic of KoreaDepartment of Mathematics, Sogang University, Seoul, Republic of KoreaDepartment of Mathematics, Kwangwoon University, Seoul, Republic of KoreaDepartment of Mathematics, Kwangwoon University, Seoul, Republic of KoreaAssume that [Formula: see text] is a random variable whose moment generating function exists in a neighbourhood of the origin. In this paper, we study the probabilistic degenerate central Bell polynomials associated with [Formula: see text], as probabilistic extension of the degenerate central Bell polynomials. In addition, we investigate the probabilistic degenerate central factorial numbers of the second kind associated with [Formula: see text] and the probabilistic degenerate central Fubini polynomials associated with [Formula: see text]. The aim of this paper is to derive some properties, explicit expressions, certain identities and recurrence relations for those polynomials and numbers.https://www.tandfonline.com/doi/10.1080/13873954.2024.2358899Probabilistic degenerate central factorial numbers of the second kindprobabilistic degenerate central Bell polynomialsprobabilistic degenerate central Fubini polynomials |
| spellingShingle | Li Chen Taekyun Kim Dae San Kim Hyunseok Lee Si-Hyeon Lee Probabilistic degenerate central Bell polynomials Mathematical and Computer Modelling of Dynamical Systems Probabilistic degenerate central factorial numbers of the second kind probabilistic degenerate central Bell polynomials probabilistic degenerate central Fubini polynomials |
| title | Probabilistic degenerate central Bell polynomials |
| title_full | Probabilistic degenerate central Bell polynomials |
| title_fullStr | Probabilistic degenerate central Bell polynomials |
| title_full_unstemmed | Probabilistic degenerate central Bell polynomials |
| title_short | Probabilistic degenerate central Bell polynomials |
| title_sort | probabilistic degenerate central bell polynomials |
| topic | Probabilistic degenerate central factorial numbers of the second kind probabilistic degenerate central Bell polynomials probabilistic degenerate central Fubini polynomials |
| url | https://www.tandfonline.com/doi/10.1080/13873954.2024.2358899 |
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