Hypergeometric Functions on Domains of Postivity, Jack Polynomials, and Applications.

Intro -- Contents -- Preface -- Special functions on finite upper half planes -- Some special values for the BC type hypergeometric function -- On certain spaces of harmonic polynomials -- Identities for generalized hypergeometric coefficients -- Eigen analysis for some examples of the Metropolis algorithm -- Hilbert spaces of vector-valued holomorphic functions and irreducibility of multiplier representations -- Hankel transforms associated to finite reflection groups -- Prolongement analytique des series de Taylor spheriques -- Some combinatorial aspects of the spectra of normally distributed random matrices -- Degenerate principle series on tube type domains -- Askey-Wilson polynomials for root systems of type BC -- Some special functions in the Fock space -- Matrice de Hua et polynomes de Jack -- Generalized hypergeometric functions and Laguerre polynomials in two variables.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.