Probabilistic proof of a Hankel transform of Laguerre polynomials

DOI10.1016/S0016-0032(99)00020-4zbMath0965.44001MaRDI QIDQ5926838

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Publication date: 7 March 2001

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

zbMATH Keywords

integral with Hankel kernelMonte Carlo methodnon-central gamma distributionprobabilistic interpretation of Hankel transform

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Integral transforms of special functions (44A20) Numerical methods for integral transforms (65R10)

Related Items (1)

A Bivariate Generalization of the Noncentral Negative Binomial Distribution

Cites Work

• Probability distribution and a self-reciprocal relation involving confluent hypergeometric functions
• On a generalized non-central negative binomial distribution
• The Non-Central Negative Binomial Distribution
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