Interaction with gestures in ubiquitous environments

Thesis (Ph. D. in Engineering)--University of Tsukuba, (A), no. 5685, 2011.3.25Includes bibliographical references (leaves 90-103

An explicit formula for the linearization coefficients of Bessel polynomials

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).Comment: To appear in The Ramanujan Journa