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arxiv: 1409.4901 · v1 · pith:ZPLVTTLJnew · submitted 2014-09-17 · 🧮 math.CA

Admissibility condition for exceptional Laguerre polynomials

classification 🧮 math.CA
keywords conditionassociatedexceptionallaguerrepolynomialsadmissibilitydifferentialfact
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We prove a necessary and sufficient condition for the integrability of the weight associated to the exceptional Laguerre polynomials. This condition is very much related to the fact that the associated second order differential operator has no singularities in $(0,+\infty)$.

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