On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials

We 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 tig...

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Bibliographic Details
Main Authors: Martínez-Finkelshtein, Andrei, Rakhmanov, Evgenii A.
Format: info:eu-repo/semantics/article
Language:English
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/10835/1627