Totally positive kernels, Pólya frequency functions, and generalized hypergeometric series

DOI10.1016/0024-3795(90)90139-4zbMath0707.33001OpenAlexW2052156065MaRDI QIDQ919499

Donald St. P. Richards

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90139-4

zbMATH Keywords

Laplace transformhypergeometric functions of matrix variable

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Laplace transform (44A10) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

When does a hypergeometric function \(_pF_q\) belong to the Laguerre-Pólya class \(LP^+\)? ⋮ Pólya frequency sequences and real zeros of some \(_3F_2\) polynomials ⋮ Extreme eigenvalue distributions of Jacobi ensembles: new exact representations, asymptotics and finite size corrections ⋮ Zeros of some special entire functions ⋮ Natural Exponential Families and Generalized Hypergeometric Measures ⋮ Log-concavity and Turán-type inequalities for the generalized hypergeometric function ⋮ Hypergeometric functions on complex matrix space ⋮ Convergence analysis of the summation of the factorially divergent Euler series by Padé approximants and the delta transformation

Cites Work

• Unnamed Item
• Total positivity, spherical series, and hypergeometric functions of matrix argument
• Total positivity of certain reproducing kernels
• Special Functions of Matrix Argument. I: Algebraic Induction, Zonal Polynomials, and Hypergeometric Functions
• The Confluent Hypergeometric Function
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION