A new recurrence formula for generic exceptional orthogonal polynomials

A new recurrence relation for exceptional orthogonal polynomials is proposed, which holds for types 1, 2, and 3. To provide concrete examples, the recurrence relations are then given for Xj-Hermite, Laguerre, and Jacobi polynomials in the j = 1, 2 cases.

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Bibliographic Details
Published in:Journal of mathematical physics 2015-03, Vol.56 (3), p.1
Main Authors: Miki, Hiroshi, Tsujimoto, Satoshi
Format: Article
Language:English
Subjects:
Geometry
Hermite polynomials
Mathematical analysis
Mathematical problems
Physics
Polynomials
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Description
Summary:A new recurrence relation for exceptional orthogonal polynomials is proposed, which holds for types 1, 2, and 3. To provide concrete examples, the recurrence relations are then given for Xj-Hermite, Laguerre, and Jacobi polynomials in the j = 1, 2 cases.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4914334