An explicit formula for the linearization coefficients of Bessel polynomials
Classical Analysis and ODEs
2011-09-23 v1
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).
Cite
@article{arxiv.1109.4660,
title = {An explicit formula for the linearization coefficients of Bessel polynomials},
author = {Mohamed Jalel Atia and Jiang Zeng},
journal= {arXiv preprint arXiv:1109.4660},
year = {2011}
}
Comments
To appear in The Ramanujan Journal