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dc.contributor.authorMartínez-Finkelshtein, Andrei
dc.contributor.authorRakhmanov, Evgenii A.
dc.date.accessioned2012-08-01T07:36:06Z
dc.date.available2012-08-01T07:36:06Z
dc.date.issued2010
dc.identifier.urihttp://hdl.handle.net/10835/1627
dc.description.abstractWe investigate the strong asymptotics of Heine-Stieltjes polynomials - polynomial solutions of a second order differential equations with complex polynomial coefficients. The solution is given in terms of critical measures (saddle points of the weighted logarithmic energy on the plane), that are tightly related to quadratic differentials with closed trajectories on the plane. The paper is a continuation of the research initiated in [arXiv:0902.0193]. However, the starting point here is the WKB method, which allows to obtain the strong asymptotics.es_ES
dc.language.isoenes_ES
dc.sourceContemporary Mathematics 507 (2010)es_ES
dc.subjectComportamiento asintóticoes_ES
dc.subjectHeine-Stieltjeses_ES
dc.subjectPolinomios Van Vleckes_ES
dc.subjectAsymptotic behaviores_ES
dc.subjectVan Vleck polynomialses_ES
dc.titleOn asymptotic behavior of Heine-Stieltjes and Van Vleck polynomialses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES


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