Some identities involving derangement polynomials and numbers and moments of gamma random variables

DOI10.1155/2020/6624006zbMath1473.05032arXiv2011.01577OpenAlexW3111882876MaRDI QIDQ2221332

Dae San Kim, Taekyun Kim, Hyunseok Lee, Lee-Chae Jang

Publication date: 26 January 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.01577

zbMATH Keywords

derangement numberbivariate cosine-derangement polynomialsbivariate sine-derangement polynomialsordinary derangement polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Related Items (3)

Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function ⋮ Unnamed Item ⋮ Probabilistic degenerate Stirling polynomials of the second kind and their applications

Cites Work

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• Some identities involving special numbers and moments of random variables
• Some identities on derangement and degenerate derangement polynomials
• A Correspondence between Plane Planted Chromatic Trees and Generalised Derangements
• Laguerre polynomials and derangements
• Derangements and Bell Numbers
• Introduction to Probability Models
• Formulas derived from moment generating functions and Bernstein polynomials
• Note on the Single Variable Bell Polynomials
• The Distribution of Products of Beta, Gamma and Gaussian Random Variables
• Some identities and formulas derived from analysis of distribution functions including Bernoulli polynomials and Stirling numbers

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