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 finite convex combination of independent Student t-variables with arbitrary odd degrees of freedom has a density which is a finite convex combination of certain Student t-densities with odd degrees of freedom.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Berg, C., Vignat, C. Linearization Coefficients of Bessel Polynomials and Properties of Student t-Distributions. Constr Approx 27, 15–32 (2008). https://doi.org/10.1007/s00365-006-0643-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00365-006-0643-6