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Eurasian Mathematical Journal, 2011, Volume 2, Number 2, Pages 108–128 (Mi emj55)  
This article is cited in 11 scientific papers (total in 11 papers)

Some semiclassical orthogonal polynomials of class one

P. Maronia, M. Mejrib

a UMR 7598 Laboratorie Jacques-Louis Lions, Université Pierre et Marie Curie Paris 6, CNRS, Paris, France
b Institut Supérieur des Sciences Appliquées et de Technologie de Gabès, Gabès, Tunisia
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Abstract: In this work, we will solve the Laguerre-Freud equations for the recurrence coefficients of the semiclassical orthogonal polynomials of class one in a particular case. The integral representation and, as a consequence, the moments of the corresponding form are obtained. Furthermore, both the characteristic elements of the structure relation and of the second-order differential equation are explicitly given.
Keywords and phrases: semiclassical orthogonal polynomials, differential equations.
Received: 05.03.2011
Bibliographic databases:
Document Type: Article
MSC: 42C05, 33C45
Language: English
Citation: P. Maroni, M. Mejri, “Some semiclassical orthogonal polynomials of class one”, Eurasian Math. J., 2:2 (2011), 108–128
Citation in format AMSBIB
\Bibitem{MarMej11}
\by P.~Maroni, M.~Mejri
\paper Some semiclassical orthogonal polynomials of class one
\jour Eurasian Math. J.
\yr 2011
\vol 2
\issue 2
\pages 108--128
\mathnet{http://mi.mathnet.ru/emj55}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2910834}
\zmath{https://zbmath.org/?q=an:1251.33007}
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    • This publication is cited in the following 11 articles:
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