{"title":"Probabilistic Degenerate Laguerre Polynomials with Random Variables","authors":"L. Luo, Y. Ma, T. Kim, W. Liu","doi":"10.1134/S1061920824040095","DOIUrl":null,"url":null,"abstract":"<p> In this paper, we define the probabilistic degenerate Laguerre polynomials associated with random variables and the probabilistic degenerate generalized Laguerre polynomials associated with random variables. We investigate some expressions, recurrence relations, and properties associated with the probabilistic degenerate Laguerre polynomials, the probabilistic degenerate generalized Laguerre polynomials, the probabilistic Lah numbers, and the partial Bell polynomials. </p><p> <b> DOI</b> 10.1134/S1061920824040095 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 4","pages":"706 - 712"},"PeriodicalIF":1.7000,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S1061920824040095.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1061920824040095","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we define the probabilistic degenerate Laguerre polynomials associated with random variables and the probabilistic degenerate generalized Laguerre polynomials associated with random variables. We investigate some expressions, recurrence relations, and properties associated with the probabilistic degenerate Laguerre polynomials, the probabilistic degenerate generalized Laguerre polynomials, the probabilistic Lah numbers, and the partial Bell polynomials.
期刊介绍：
Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.
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