An explicit formula for the linearization coefficients of Bessel polynomials

Details An explicit formula for the linearization coefficients of Bessel polynomials An explicit formula for the linearization coefficients of Bessel polynomials

2011-09-21

arxiv.org/abs/1109.4660v1

Mathematics

Classical Analysis and ODEs

To appear in The Ramanujan Journal

Scientific paper

We prove a single sum formula for the linearization coefficients of the Bessel polynomials. In two special cases we show that our formula reduces indeed to Berg and Vignat's formulas in their proof of the positivity results about these coefficients (Constructive Approximation, 27(2008), 15-32). As a bonus we also obtain a generalization of an integral formula of Boros and Moll (J. Comput. Appl. Math. 106 (1999), 361-368).

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