Symmetrizability of differential equations having orthogonal polynomial solutions

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We show that if a linear differential equation of spectral type with polynomial coefficients L-N[y](x) = (i=0)Sigma(N)l(i)(x)y((i))(x)=lambda(n)y(x) has an orthogonal polynomial system of solutions, then the differential operator L-N[.] must be symmetrizable. We also give a few applications of this result.
Publisher
ELSEVIER SCIENCE BV
Issue Date
1997
Language
English
Article Type
Article
Citation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.83, no.2, pp.257 - 268

ISSN
0377-0427
URI
http://hdl.handle.net/10203/73097
Appears in Collection
MA-Journal Papers(저널논문)
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