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Differential equations and recursion relations for Laguerre functions on symmetric cones
Authors:Hongming Ding
Affiliation:Department of Mathematics and Computer Science, St. Louis University, St. Louis, Missouri 63103
Abstract:We obtain the differential equation and recurrence relations satisfied by the Laguerre functions $ l_{mathbf{m}}^{nu}$ on an arbitrary symmetric cone $ Omega$.

Keywords:Jordan algebra   symmetric cone   spherical polynomial   Laguerre polynomial   Laguerre function   Laplace transform   gradient   differential equation   recurrence relation
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