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arxiv: 1410.0183 · v1 · pith:ZLLMCD6Snew · submitted 2014-10-01 · 🧮 math.CA · math-ph· math.MP

A new recurrence formula for generic exceptional orthogonal polynomials

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keywords polynomialsrecurrenceexceptionalorthogonalcaseconcreteexamplesformula
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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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