The symmetric D
ω
-semi-classical orthogonal polynomials of class one |
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| Authors: | P Maroni M Mejri |
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| Institution: | 1. Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Centre National de la Recherche Scientifique (CNRS), Boite courrier 187, 75252, Paris cedex05, France
2. Institut Supérieur des Sciences Appliquées et de Technologie, Rue Omar Ibn El Khattab, Gabes, 6072, Tunisia
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| Abstract: | We give the system of Laguerre–Freud equations associated with the D ω -semi-classical functionals of class one, where D ω is the divided difference operator. This system is solved in the symmetric case. There are essentially two canonical cases. The corresponding integral representations are given. |
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