New characterizations of classical orthogonal polynomials

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Classical orthogonal polynomials of Jacobi, Laguerre, Hermite, and Bessel are characterized as the only orthogonal polynomials (up to a linear change of variable) such that (i) (Bochner) they satisfy a second order differential equation of the form l(2)(x)y ''(x)+l(1)(x)y'(x) = lambda(n)y(x); and (ii) (Hahn) their derivatives of any fixed order are also orthogonal. Here, we give several new characterizations of classical orthogonal polynomials including extensions of the above two characterizations.
Publisher
ELSEVIER SCIENCE BV
Issue Date
1996-06
Language
English
Article Type
Article
Citation

INDAGATIONES MATHEMATICAE-NEW SERIES, v.7, no.2, pp.199 - 213

ISSN
0019-3577
DOI
10.1016/0019-3577(96)85090-7
URI
http://hdl.handle.net/10203/75694
Appears in Collection
MA-Journal Papers(저널논문)
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