Differential operators associated with zonal polynomials. II

DOI10.1007/BF02481013zbMath0485.62044OpenAlexW4247551425MaRDI QIDQ1164343

Donald St. P. Richards

Publication date: 1982

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02481013

zbMATH Keywords

orthogonality relationshypergeometric function of matrix argumentgeneralised binomial coefficientszonal polynomial expansion

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Factorials, binomial coefficients, combinatorial functions (05A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items

Multivariate Meixner classes of invariant distributions, Some properties of invariant polynomials with matrix arguments and their applications in econometrics

Cites Work

• Invariant polynomials with two matrix arguments extending the zonal polynomials: Applications to multivariate distribution theory
• Differential operators associated with zonal polynomials. I
• An identity involving partitional generalized binomial coefficients
• On the distribution of the maximum latent root of a positive definite symmetric random matrix
• The Distribution of Hotelling's Generalised $T_0^2$
• On the Non-Central Distributions of Two Test Criteria in Multivariate Analysis of Variance
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples