FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 4, PAGES 1103-1110

Generalization of classical orthogonal polynomials to the case of two intervals

A. L. Lukashov

Abstract

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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).

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Last modified: December 9, 1999