Differential equations and recursion relations for Laguerre functions on symmetric cones
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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 $\Omega$.References
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Additional Information
- Hongming Ding
- Affiliation: Department of Mathematics and Computer Science, St. Louis University, St. Louis, Missouri 63103
- Email: dingh@slu.edu
- Received by editor(s): August 24, 2004
- Received by editor(s) in revised form: May 2, 2005
- Published electronically: February 8, 2007
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 3239-3250
- MSC (2000): Primary 33C45; Secondary 32M15
- DOI: https://doi.org/10.1090/S0002-9947-07-04062-7
- MathSciNet review: 2299453