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...

Полное описание

Библиографические подробности
Главные авторы: Martínez-Finkelshtein, Andrei, Rakhmanov, Evgenii A.
Формат: info:eu-repo/semantics/article
Язык:English
Опубликовано: 2012
Предметы:
Online-ссылка:http://hdl.handle.net/10835/1627