Transactions of the American Mathematical Society

Differential equations and recursion relations for Laguerre functions on symmetric cones

Author(s): Hongming Ding
Journal: Trans. Amer. Math. Soc. 359 (2007), 3239-3250.
MSC (2000): Primary 33C45; Secondary 32M15
Posted: February 8, 2007
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Abstract: We obtain the differential equation and recurrence relations satisfied by the Laguerre functions $l_{\mathbf{m}}^{\nu}$ on an arbitrary symmetric cone $\Omega$ .

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 33C45, 32M15

Hongming Ding
Affiliation: Department of Mathematics and Computer Science, St. Louis University, St. Louis, Missouri 63103
Email: dingh@slu.edu

DOI: 10.1090/S0002-9947-07-04062-7
PII: S 0002-9947(07)04062-7
Keywords: Jordan algebra, symmetric cone, spherical polynomial, Laguerre polynomial, Laguerre function, Laplace transform, gradient, differential equation, recurrence relation
Received by editor(s): August 24, 2004
Received by editor(s) in revised form: May 2, 2005
Posted: February 8, 2007
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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