TY - JOUR
T1 - Orthogonal polynomial solutions of linear ordinary differential equations
AU - Everitt, W
AU - Kwon, KH
AU - Littlejohn, LL
AU - Wellman, R
PY - 2001/8/1
Y1 - 2001/8/1
N2 - This paper surveys the latest known results concerning the classification of differential equations of the form [GRAPHICS] having a sequence of polynomial eigenfunctions {p(n)(x)}(n=0)(infinity) that are orthogonal with respect to some real bilinear form. Since the publishing of the Erice Report in 1990, several new significant results and generalizations have been discovered. (C) 2001 Elsevier Science B.V. All rights reserved.
AB - This paper surveys the latest known results concerning the classification of differential equations of the form [GRAPHICS] having a sequence of polynomial eigenfunctions {p(n)(x)}(n=0)(infinity) that are orthogonal with respect to some real bilinear form. Since the publishing of the Erice Report in 1990, several new significant results and generalizations have been discovered. (C) 2001 Elsevier Science B.V. All rights reserved.
UR - http://www.scopus.com/inward/record.url?scp=0035418246&partnerID=8YFLogxK
U2 - 10.1016/S0377-0427(00)00636-1
DO - 10.1016/S0377-0427(00)00636-1
M3 - Article
VL - 133
SP - 85
EP - 109
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1-2
ER -