2 papers
math-ph2026
Generalized Segal-Bargmann transform for Poisson distribution revisited
Chadaphorn Kodsueb, Eugene Lytvynov
For and , we consider the following probability distribution on : $Ï_{α,Ï} = \exp \big(- \fracÏ{α^2}\big) \sum_{n=0}^{\infty} \frac{1}{n!} \big(\f…
math-ph2025
Segal-Bargmann transforms and generalized Weyl algebras associated with the Meixner class of orthogonal polynomials
Chadaphorn Kodsueb, Eugene Lytvynov
Meixner (1934) proved that there exist exactly five classes of orthogonal Sheffer sequences: Hermite polynomials which are orthogonal with respect to Gaussian distribution, Charlie…