Ultraspherical type generating functions for orthogonal polynomials

Abstract

We characterize, up to a conjecture, probability distributions of all order finite moments having ultraspherical type generating functions for orthogonal polynomials.

Some proofs are shortened. There is an insight into the stated conjecture

References in corpus (1)

• On a class of free Levy laws related to a regression problem

Cited by in corpus (3)

• On generalized Cauchy-Stieltjes transforms of some Beta distributions
• Generating functions of Cauchy-Stieltjes type for orthogonal polynomials
• Topics on Meixner families