Orthogonal polynomial solutions of linear ordinary differential equations
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.
- Publisher
- ELSEVIER SCIENCE BV
- Issue Date
- 2001-08
- Language
- English
- Article Type
- Article; Proceedings Paper
- Keywords
GENERALIZED LAGUERRE-POLYNOMIALS; SOBOLEV ORTHOGONALITY; GEGENBAUER POLYNOMIALS; EIGENFUNCTIONS; OPERATORS; ZEROS; STIELTJES; MOMENTS; FORM
- Citation
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.133, no.1-2, pp.85 - 109
- ISSN
- 0377-0427
- Appears in Collection
- MA-Journal Papers(저널논문)
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