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dc.contributor.authorMartínez-Finkelshtein, Andrei
dc.contributor.authorRakhmanov, Evgenii A.
dc.contributor.authorSuetin, Sergey P.
dc.date.accessioned2012-07-09T11:35:05Z
dc.date.available2012-07-09T11:35:05Z
dc.date.issued2011
dc.identifier.urihttp://hdl.handle.net/10835/1589
dc.description.abstractIn 1986 J. Nuttall published in Constructive Approximation the paper "Asymptotics of generalized Jacobi polynomials", where with his usual insight he studied the behavior of the denominators ("generalized Jacobi polynomials") and the remainders of the Pade approximants to a special class of algebraic functions with 3 branch points. 25 years later we try to look at this problem from a modern perspective. On one hand, the generalized Jacobi polynomials constitute an instance of the so-called Heine-Stieltjes polynomials, i.e. they are solutions of linear ODE with polynomial coefficients. On the other, they satisfy complex orthogonality relations, and thus are suitable for the Riemann-Hilbert asymptotic analysis. Along with the names mentioned in the title, this paper features also a special appearance by Riemann surfaces, quadratic differentials, compact sets of minimal capacity, special functions and other characters.es_ES
dc.language.isoenes_ES
dc.sourceContemporary Mathematicses_ES
dc.subjectJohn Nuttalles_ES
dc.subjectJacobi polynomialses_ES
dc.subjectHeinees_ES
dc.subjectHilbertes_ES
dc.subjectPadées_ES
dc.subjectRiemannes_ES
dc.subjectStieltjeses_ES
dc.subjectPolinomios de Jacobies_ES
dc.titleHeine, Hilbert, Padé, Riemann, and Stieltjes: a Johnes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES


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