Moment representation of Bernoulli polynomial, Euler polynomial and Gegenbauer polynomials

DOI10.1016/j.spl.2006.11.011zbMath1116.62017OpenAlexW2044899044MaRDI QIDQ2373665

Ping Sun

Publication date: 16 July 2007

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2006.11.011

zbMATH Keywords

orthogonal polynomialsmomentgamma distributionLaplace distributioncombinatorial polynomials

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Exact distribution theory in statistics (62E15) Characterization and structure theory of statistical distributions (62E10) Applications of hypergeometric functions (33C90)

Related Items (8)

Binomial convolution and transformations of Appell polynomials ⋮ Appell and Sheffer sequences: on their characterizations through functionals and examples ⋮ Binomial Identities and Moments of Random Variables ⋮ A unified approach to higher order convolutions within a certain subset of Appell polynomials ⋮ Multivariate Bernoulli and Euler polynomials via Lévy processes ⋮ Probabilistic approach to Appell polynomials ⋮ Old and new results about relativistic Hermite polynomials ⋮ Unnamed Item

Cites Work

• A simple expression for the multivariate Hermite polynomials
• Normal moments and Hermite polynomials
• Expressions for the normal distribution and repeated normal integrals
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• Unnamed Item

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