Title of article
Partial differential equations having orthogonal polynomial solutions
Author/Authors
Kim، نويسنده , , Y.J. and Kwon، نويسنده , , K.H. and Lee، نويسنده , , J.K.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1998
Pages
15
From page
239
To page
253
Abstract
We show that if a second order partial differential equation: L[u]:= Auxx + 2Buxy + Cuyy + Dux + Euy = λnu 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 such differential equations.
Keywords
Symmetrizability , partial differential equations , Rodrigues type formula , Orthogonal polynomials in two variables
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1998
Journal title
Journal of Computational and Applied Mathematics
Record number
1549434
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