Journal article
A generic formula for the values at the boundary points of monic classical orthogonal polynomials
Publication Details
Authors: | Koepf, W.; Masjed-Jamei, M. |
Publication year: | 2006 |
Journal: | Journal of Computational and Applied Mathematics |
Pages range : | 98-105 |
Volume number: | 191 |
Start page: | 98 |
End page: | 105 |
ISSN: | 0377-0427 |
Abstract
In a previous paper we have determined a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type alpha(x)y(n)''(x) + tau(x)y(n)'(x) - lambda(n)y(n)(x) = 0. In this paper, we give another such formula which enables us to present a generic formula for the values of monic classical orthogonal polynomials at their boundary points of definition. (c) 2005 Elsevier B.V. All rights reserved.
In a previous paper we have determined a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type alpha(x)y(n)''(x) + tau(x)y(n)'(x) - lambda(n)y(n)(x) = 0. In this paper, we give another such formula which enables us to present a generic formula for the values of monic classical orthogonal polynomials at their boundary points of definition. (c) 2005 Elsevier B.V. All rights reserved.
