Linearization coefficients of Bessel polynomials
Probability
2007-05-23 v1
Abstract
We prove positivity results about linearization and connection coefficients for Bessel polynomials. The proof is based on a recursion formula and explicit formulas for the coefficients in special cases. The result implies that the distribution of a convex combination of independent Student-t random variables with arbitrary odd degrees of freedom has a density which is a convex combination of certain Student-t densities with odd degrees of freedom.
Cite
@article{arxiv.math/0506458,
title = {Linearization coefficients of Bessel polynomials},
author = {Christian Berg and Christophe Vignat},
journal= {arXiv preprint arXiv:math/0506458},
year = {2007}
}
Comments
16 pages