Jacobi Polynomials from Compatibility Conditions

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dc.creatorChen, Yang
dc.creatorIsmail, Mourad
dc.date2003-02-12
dc.date.accessioned2026-07-07T04:55:15Z
dc.date.available2026-07-07T04:55:15Z
dc.descriptionWe revisit the ladder operators for orthogonal polynomials and re-interpret two supplementary conditions as compatibility conditions of two linear over-determined systems; one involves the variation of the polynomials with respect to the variable z (spectral parameter) and the other a recurrence relation in n (the lattice variable). For the Jacobi weight w(x) = (1-x)^a(1+x)^b, x in [-1,1],we show how to use the compatibility conditions to explicitly determine the recurrence coefficients of the monic Jacobi polynomials.
dc.description11 pages 0 figures
dc.identifierhttps://arxiv.org/abs/math/0302142
dc.identifierhttp://arxiv.org/abs/math/0302142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66511
dc.subjectClassical Analysis and ODEs
dc.titleJacobi Polynomials from Compatibility Conditions
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