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Fundamentalnaya i Prikladnaya Matematika, 1999, Volume 5, Issue 4, Pages 1103–1110
(Mi fpm434)
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This article is cited in 1 scientific paper (total in 1 paper)
Generalization of classical orthogonal polynomials to the case of two intervals
A. L. Lukashov Saratov State University named after N. G. Chernyshevsky
Abstract:
We have found polynomials which may be considered as generalizations of classical orthogonal polynomials to the case of two intervals. Namely, for some $n$ they have properties of classical Jacobi, Laguerre and Hermite polynomials (orthogonality of derivatives, solution of differential equations of second order).
Received: 01.11.1997
Citation:
A. L. Lukashov, “Generalization of classical orthogonal polynomials to the case of two intervals”, Fundam. Prikl. Mat., 5:4 (1999), 1103–1110
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https://www.mathnet.ru/eng/fpm434 https://www.mathnet.ru/eng/fpm/v5/i4/p1103
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Abstract page: | 299 | Full-text PDF : | 197 | First page: | 2 |
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