A chain rule for differentiation with applications to multivariate hermite polynomials

DOI10.1017/S0004972700001933zbMath0549.33012MaRDI QIDQ3342893

Christopher S. Withers

Publication date: 1984

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hermite polynomialsFaa de Bruno formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (6)

Expansions for the distribution of asymptotically chi-square statistics ⋮ Multivariate Bell polynomials and their applications to powers and fractionary iterates of vector power series and to partial derivatives of composite vector functions ⋮ Estimates of low bias for the multivariate normal ⋮ A comparison of higher-order local powers of a class of one-way MANOVA tests under general distributions ⋮ A simple expression for the multivariate Hermite polynomials ⋮ Hotelling's one-sample and two-sample \(T^2\) tests and the multivariate Behrens-Fisher problem under nonnormality

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