Matrix calculus and related hypergeometric functions

DOI10.1080/10652469.2019.1617290zbMath1418.15008OpenAlexW2946156055WikidataQ127876311 ScholiaQ127876311MaRDI QIDQ5222703

Petr Blaschke

Publication date: 10 July 2019

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1617290

zbMATH Keywords

hypergeometric functionszonal polynomialsmatrix differentiationmatrix calculusmatrix argument

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Matrix exponential and similar functions of matrices (15A16)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The efficient evaluation of the hypergeometric function of a matrix argument
• Bessel functions of matrix argument
• Berezin transform on harmonic Bergman spaces on the real ball
• Asymptotic expansions of some matrix argument hypergeometric functions, with applications to macromolecules
• Approximation of hypergeometric functions with matricial argument through their development in series of zonal polynomials
• Laplace approximations for hypergeometric functions with matrix argument
• Statistics on special manifolds
• Multivariate calculation. Use of the continuous groups
• Matrix Analysis
• Accurate and efficient evaluation of Schur and Jack functions
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• Exact misclassification probabilities for plug-in normal quadratic discriminant functions. I: The equal-means case

This page was built for publication: Matrix calculus and related hypergeometric functions