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arXiv · 1109.4660

An explicit formula for the linearization coefficients of Bessel polynomials

Mohamed Jalel Atia·Jiang Zeng
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Abstract

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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Mohamed Jalel Atia, Jiang Zeng. 2011-09-21. An explicit formula for the linearization coefficients of Bessel polynomials. https://arxiv.org/abs/1109.4660

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