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arXiv · 1410.0183

A new recurrence formula for generic exceptional orthogonal polynomials

Hiroshi Miki·Satoshi Tsujimoto
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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.

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Hiroshi Miki, Satoshi Tsujimoto. 2014-10-01. A new recurrence formula for generic exceptional orthogonal polynomials. https://doi.org/10.1063/1.4914334

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