Linearization coefficients of Bessel polynomials

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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.
16 pages

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Probability, 33C10;60E05

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http://salesiana.dossiersoluciones.com/handle/123456789/75558

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506458
 http://arxiv.org/abs/math/0506458

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arXiv