Linearization coefficients of Bessel polynomials

Christian Berg; Christophe Vignat

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Linearization coefficients of Bessel polynomials

Christian Berg·Christophe Vignat

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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.

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Christian Berg, Christophe Vignat. 2005-06-22. Linearization coefficients of Bessel polynomials. https://arxiv.org/abs/math/0506458

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