Probabilistic Properties of Bilinear Expansions of Hermite Polynomials

DOI10.1137/1112056zbMath0178.21205OpenAlexW2025168080MaRDI QIDQ5564870

O. V. Sarmanov, Z. N. Bratoeva

Publication date: 1967

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1112056

zbMATH Keywords

probability theory

Related Items (17)

Lancaster distributions and Markov chains with multivariate Poisson-Charlier, Meixner and Hermite-Chebycheff polynomial eigenfunctions ⋮ The diagonal multivariate natural exponential families and their classification ⋮ On Gaussian-like densities of order greater than two ⋮ Comment: Lancaster probabilities and Gibbs sampling ⋮ Lancaster bivariate probability distributions with Poisson, negative binomial and gamma margins ⋮ On the prehistory of Correspondence Analysis ⋮ Characterization of a class of bivariate distribution functions ⋮ Two characteristic properties of normal distributions in the class NH ⋮ The canonical decomposition of bivariate distributions ⋮ Analytic properties of complex Hermite polynomials ⋮ Bivariate densities with diagonal expansions in Gegenbauer polynomials ⋮ Distance correlation coefficients for Lancaster distributions ⋮ EXCHANGEABLE PAIRS OF BERNOULLI RANDOM VARIABLES, KRAWTCHOUCK POLYNOMIALS, AND EHRENFEST URNS ⋮ Stochastic processes with orthogonal polynomial eigenfunctions ⋮ Quantum mechanics without potential function ⋮ Extensions of the Mehler-Weisner and Other Results for the Hermite Function ⋮ On positivity of orthogonal series and its applications in probability

This page was built for publication: Probabilistic Properties of Bilinear Expansions of Hermite Polynomials