Linearization coefficients of Bessel polynomials

Details Linearization coefficients of Bessel polynomials Linearization coefficients of Bessel polynomials

2005-06-22

arxiv.org/abs/math/0506458v1

Mathematics

Probability

16 pages

Scientific paper

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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