Asymptotics for the simplest generalized Jacobi polynomials recurrence coefficients from Freud's equations: numerical explorations.
Classical Analysis and ODEs
2016-09-06 v1
Abstract
Generalized Jacobi polynomials are orthogonal polynomials related to a weight function which is smooth and positive on the whole interval of orthogonality up to a finite number of points, where algebraic singularities occur. The influence of these singular points on the asymptotic behaviour of the recurrence coefficients is investigated.
Cite
@article{arxiv.math/9403214,
title = {Asymptotics for the simplest generalized Jacobi polynomials recurrence coefficients from Freud's equations: numerical explorations.},
author = {Alphonse P. Magnus},
journal= {arXiv preprint arXiv:math/9403214},
year = {2016}
}