A new recurrence formula for generic exceptional orthogonal polynomials
arXiv:1410.0183 · doi:10.1063/1.4914334
Abstract
A new recurrence relation for exceptional orthogonal polynomials is proposed, which holds for type 1, 2 and 3. As concrete examples, the recurrence relations are given for Xj-Hermite, Laguerre and Jacobi polynomials in j = 1,2 case.
17 pages, 4 figures
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Cited by in corpus (14)
- Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III
- A Bochner type classification theorem for exceptional orthogonal polynomials
- Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II
- Recurrence Relations of the Multi-Indexed Orthogonal Polynomials IV : closure relations and creation/annihilation operators
- Exceptional Legendre Polynomials and Confluent Darboux Transformations
- Exactly Solvable Discrete Quantum Mechanical Systems and Multi-indexed Orthogonal Polynomials of the Continuous Hahn and Meixner-Pollaczek Types
- Recurrence Relations for Wronskian Hermite Polynomials
- Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials
- New Determinant Expressions of the Multi-indexed Orthogonal Polynomials in Discrete Quantum Mechanics
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