PROBABILISTIC FULLY DEGENERATE BELL POLYNOMIALS ASSOCIATED WITH RANDOM VARIABLES

Lingling Luo, Yuankui Ma, Taekyun Kim, Dae San Kim and Salah Boulaaras
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Lingling Luo: Mathematics Teaching Department, Xi’an Jiaotong University City College, Xi’an, Shaanxi 710018, P. R. China
Yuankui Ma: ��School of Science, Xi’an Technological University, Xi’an 710021, Shaanxi, P. R. China
Taekyun Kim: ��School of Science, Xi’an Technological University, Xi’an 710021, Shaanxi, P. R. China‡Department of Mathematics, Kwangwoon University, Seoul 139701, Republic of Korea
Dae San Kim: �Department of Mathematics, Sogang University, Seoul 121742, Republic of Korea
Salah Boulaaras: �Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-7

Abstract: In this paper, we define probabilistic fully degenerate Bell polynomials associated with X, which are probabilistic versions of fully degenerate Bell polynomials. Meanwhile, we also derive some combinatorial identities and properties related to probabilistic fully degenerate Bell polynomials, partial Bell polynomials and other special polynomials and numbers.

Keywords: Probabilistic Fully Degenerate Bell Polynomials; Probabilistic Degenerate Bell Polynomials; Partial Bell Polynomials; Moment Generating Function; Probabilistic Degenerate Stirling Numbers of the Second Kind (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401656

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