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Symmetrizability of differential equations having orthogonal polynomial solutions

✍ Scribed by K.H. Kwon; G.J. Yoon

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 568 KB
Volume: 83
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00110-6

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✦ Synopsis

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.

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