Convexity of the zeros of some orthogonal polynomials and related functions
Loading...
Date
Authors
Jordaan, Kerstin Heidrun
Tookos, Ferenc
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
We study convexity properties of the zeros of some special functions that follow from the convexity theorem of Sturm. We prove results on the intervals of convexity for the zeros of Laguerre, Jacobi and ultraspherical polynomials, as well as functions related to them, using
transformations under which the zeros remain unchanged. We give upper as well as lower bounds for the distance between consecutive zeros in several cases.
Description
Keywords
Zeros, Convexity theorem of Sturm, Ultraspherical polynomials
Sustainable Development Goals
Citation
K. Jordaan, F. Tookos, Convexity of the zeros of some orthogonal polynomials and related functions, Journal of Computational and Applied Mathematics (2009), doi:10.1016/j.cam.2009.02.045