Solutions of three-term relations in several variables
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- by Yuan Xu PDF
- Proc. Amer. Math. Soc. 122 (1994), 151-155 Request permission
Abstract:
A system of multivariate orthogonal polynomials satisfies a matrix equation which plays the role of a three-term relation of the orthogonal polynomial of one variable. However, unlike the case of one variable, there does not exist a second solution of this matrix equation that is linearly independent to the orthogonal polynomials. In particular, there is no analogy of the associated polynomials in several variables.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 151-155
- MSC: Primary 33C50; Secondary 39A10, 41A05
- DOI: https://doi.org/10.1090/S0002-9939-1994-1211589-4
- MathSciNet review: 1211589