On asymptotic behavior of Heine-Stieljes 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...

詳細記述

書誌詳細
主要な著者: Martínez-Finkelshtein, Andrei, Rakhmanov, Evgenii A.
フォーマット: info:eu-repo/semantics/article
言語:English
出版事項: 2017
オンライン・アクセス:http://hdl.handle.net/10835/4878