A probabilistic version of Mehler's formula
type: Item
instance of: scholarly article
title: A probabilistic version of Mehler's formula
zbMATH Open document ID: 1357.33019
author: Mingjin Wang
published in: Taiwanese Journal of Mathematics
publication date: 2017-03-09T00:00:00Z
Mathematics Subject Classification ID: 33D45
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 6693415
zbMATH Keywords: Al-Salam-Carlitz polynomials
zbMATH Keywords: Mehler's formula
zbMATH Keywords: analytic continuation theorem
zbMATH Keywords: Lebesgue's dominated convergence theorem
zbMATH Keywords: the distribution \(\mathrm{W}(x
zbMATH Keywords: q)\)
MaRDI profile type: Publication
full work available at URL: tjm.18.2014.3576
OpenAlex ID: W2082925928
cites work: Q4199043
cites work: A probabilistic proof of the Andrews--Gordon identities
cites work: The \(q\)-Bernstein basis as a \(q\)-binomial distribution
cites work: On the Gaussian \(q\)-distribution
cites work: A PROBABILISTIC PROOF OF THE ROGERS–RAMANUJAN IDENTITIES
cites work: Some operator identities and \(q\)-series transformation formulas
cites work: More on the umbral calculus, with emphasis on the \(q\)-umbral calculus
cites work: Some multilinear generating functions for q-Hermite polynomials
cites work: \(q\)-integral representation of the Al-Salam-Carlitz polynomials
cites work: A new probability distribution with applications
cites work: Probabilistic derivation of a \(q\)-polynomials transformation formula
DOI: 10.11650/TJM.18.2014.3576
description: scientific article; zbMATH DE number 6693415