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Fundam. Prikl. Mat., 1999, Volume 5, Issue 4, Pages 1103–1110 (Mi fpm434)  

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).

Full text: PDF file (292 kB)

Bibliographic databases:
UDC: 517.587
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

Citation in format AMSBIB
\Bibitem{Luk99}
\by A.~L.~Lukashov
\paper Generalization of classical orthogonal polynomials to the~case of two intervals
\jour Fundam. Prikl. Mat.
\yr 1999
\vol 5
\issue 4
\pages 1103--1110
\mathnet{http://mi.mathnet.ru/fpm434}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1782955}
\zmath{https://zbmath.org/?q=an:0967.42013}


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    This publication is cited in the following articles:
    1. S. P. Suetin, “Strong asymptotics of polynomials orthogonal with respect to a complex weight”, Sb. Math., 200:1 (2009), 77–93  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
  • Фундаментальная и прикладная математика
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