English

Ultraspherical type generating functions for orthogonal polynomials

Probability 2009-01-15 v4 Classical Analysis and ODEs

Abstract

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

Keywords

Cite

@article{arxiv.0812.3666,
  title  = {Ultraspherical type generating functions for orthogonal polynomials},
  author = {Nizar Demni},
  journal= {arXiv preprint arXiv:0812.3666},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T11:53:51.058Z