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An explicit formula for the linearization coefficients of Bessel polynomials
Journal article   Peer reviewed

An explicit formula for the linearization coefficients of Bessel polynomials

Mohamed Jalel Atia and Jiang Zeng
The Ramanujan journal, Vol.28(2), pp.211-221
01/06/2012
DOI: https://doi.org/10.1007/s11139-011-9348-4

Abstract

Mathematics Physical Sciences Science & Technology
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 (Constr. Approx. 27:15-32, 2008). As a bonus we also obtain a generalization of an integral formula of Boros and Moll (J. Comput. Appl. Math. 106:361-368, 1999).

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