Title
Accurate computation of the zeros of the generalized Bessel polynomials
Abstract
Summary.   A general method for approximating polynomial solutions of second-order linear homogeneous differential equations with polynomial coefficients is applied to the case of the families of differential equations defining the generalized Bessel polynomials, and an algorithm is derived for simultaneously finding their zeros. Then a comparison with several alternative algorithms is carried out. It shows that the computational problem of approximating the zeros of the generalized Bessel polynomials is not an easy matter at all and that the only algorithm able to give an accurate solution seems to be the one presented in this paper.
Year
DOI
Venue
2000
10.1007/s002110000166
Numerische Mathematik
Keywords
Field
DocType
differential equation,second order
Bessel polynomials,Jenkins–Traub algorithm,Orthogonal polynomials,Classical orthogonal polynomials,Mathematical analysis,Bessel process,Bessel filter,Mathematics,Difference polynomials,Bessel function
Journal
Volume
Issue
ISSN
86
3
0029-599X
Citations 
PageRank 
References 
4
0.86
2
Authors
2
Name
Order
Citations
PageRank
L. Pasquini140.86
A. Moro240.86