๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the classification of differential equations having orthogonal polynomial solutions

โœ Scribed by Lance L. Littlejohn


Book ID
112608861
Publisher
Springer
Year
1984
Tongue
English
Weight
932 KB
Volume
138
Category
Article
ISSN
0373-3114

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Partial differential equations having or
โœ Y.J. Kim; K.H. Kwon; J.K. Lee ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Symmetrizability of differential equatio
โœ K.H. Kwon; G.J. Yoon ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 568 KB

We show that if a linear differential equation of spectral type with polynomial coefficients has an orthogonal polynomial system of solutions, then the differential operator LN['] must be symmetrizable. We also give a few applications of this result.