3 papers
math.NT2026
Diagonal Condition in Multiplication Table of
Chadaphorn Kodsueb
Multiplication table of a ring with identity 1 is said to have the diagonal condition if 1s occur only on the main diagonal. In this paper, we study the diagonal condition in the r…
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…