Generalized Humbert polynomials and second-order partial differential operators |
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Authors: | Abdlilah Bouali |
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Institution: | Academy of Graduate Studies, Department of Mathematics, B.P. 72331, Janzour, Tripoli, Libya |
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Abstract: | We define a new class of Humbert's polynomials which generalizes the well-known class of Gegenbauer, Legendre, Pincherle, Horadam-Mahon, Kinney, Hordam-Pethe, Gould and Pathan-Khan polynomials. We prove that these generalized polynomials are eigenfunctions of the Hamiltonian of the Calogero-Sutherland model. We show several differential equations having these polynomials for solutions. |
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Keywords: | 17B66 33C55 02 30 IK 35A30 30F45 |
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