PROBABILISTIC CENTRAL BELL POLYNOMIALS

Rongrong Xu, Yuankui Ma, Taekyun Kim, Dae San Kim, Salah Boulaaras () and Wenpeng Zhang
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Rongrong Xu: School of Science, Xi’an Technological University, Xi’an 710021, Shaanxi, 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 139-701, Republic of Korea
Dae San Kim: ��Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
Salah Boulaaras: �Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
Wenpeng Zhang: School of Science, Xi’an Technological University, Xi’an 710021, Shaanxi, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-10

Abstract: Let Y be a random variable whose moment generating function exists in a neighborhood of the origin. The probabilistic central Bell polynomials associated with the random variable Y are investigated in this paper, as probabilistic extension of the central Bell polynomials. Furthermore, we consider the probabilistic central Fubini polynomials associated with Y and the probabilistic central factorial numbers of the second order associated with Y. The aim of this research is to obtain some characteristics, explicit expressions, specific identities, and recurrence relations for those numbers and polynomials.

Keywords: Probabilistic Central Factorial Numbers of the Second Kind Associated with Y; Probabilistic Central Bell Polynomials Associated with Y; Probabilistic Central Fubini Polynomials Associated with Y (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401668

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