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Eurasian Mathematical Journal, 2013, Volume 4, Number 2, Pages 82–103 (Mi emj125)  
This article is cited in 1 scientific paper (total in 1 paper)

On the natural $q$-analogues of the classical orthogonal polynomials

L. Khérijia, P. Maronib

a Institut Supérieur des Sciences Appliquées et de Technologie de Gabès, Rue Omar Ibn El Khattab, 6072-Gabès, Tunisia
b UMR 7598 Laboratoire Jacques-Luis Lions, Université Pierre et Marie Curie Paris 6, CNRS, Boite courrier 187, 75252 Paris cedex 05, France
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Abstract: We study the natural $q$-analogues of the Hermite, Laguerre, Jacobi and Bessel $D$-classical forms. Their moments and their discrete measure and integral representations are given.
Keywords and phrases: $q$-derivative operator, $q$-classical forms, integral representation, discrete measure.
Received: 25.05.2011
Bibliographic databases:
Document Type: Article
MSC: 33C45, 42C05
Language: English
Citation: L. Khériji, P. Maroni, “On the natural $q$-analogues of the classical orthogonal polynomials”, Eurasian Math. J., 4:2 (2013), 82–103
Citation in format AMSBIB
\Bibitem{KheMar13}
\by L.~Kh\'eriji, P.~Maroni
\paper On the natural $q$-analogues of the classical orthogonal polynomials
\jour Eurasian Math. J.
\yr 2013
\vol 4
\issue 2
\pages 82--103
\mathnet{http://mi.mathnet.ru/emj125}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3118884}
\zmath{https://zbmath.org/?q=an:1279.33017}
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