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Polynomial solutions of quasi-homogeneous partial differential equations

✍ Scribed by Xuebo Luo; Zhujun Zheng


Publisher
SP Science China Press
Year
2001
Tongue
English
Weight
338 KB
Volume
44
Category
Article
ISSN
1674-7283

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✍ Y.J. Kim; K.H. Kwon; J.K. Lee πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 717 KB

We show that if a second order partial differential equation: has orthogonal polynomial solutions, then the differential operator L[.] must be symmetrizable and can not be parabolic in any nonempty open subset of the plane. We also find Rodrigues type formula for orthogonal polynomial solutions of