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
Non-Commutative Polynomial Solutions to Partial Differential Equations
✍ Scribed by Christopher S. Nelson
- Book ID
- 118777568
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2012
- Tongue
- English
- Weight
- 577 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0378-620X
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