Hiroshi Miki, Satoshi Tsujimoto
Abstract
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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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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.
Key concepts: Orthogonal polynomials, Mathematics, Recurrence relation, Classical orthogonal polynomials, Algebra over a field, Discrete orthogonal polynomials, Wilson polynomials, Pure mathematics