An analog of Plya's theorem for multivalued analytic functions with finitely many branch points

被引：4
作者：
Suetin, S. P. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2017年 / 101卷 / 5-6期
基金：
俄罗斯基础研究基金会;
关键词：
analytic continuation; transfinite diameter; Polya's theorem; Pade polynomial; Stahl-Riemann surface; PADE APPROXIMANTS; ASYMPTOTICS; CONVERGENCE; POLYNOMIALS; ZEROS;
D O I：
10.1134/S0001434617050145
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An analog of Plya's theorem on the estimate of the transfinite diameter for a class of multivalued analytic functions with finitely many branch points and of the corresponding class of admissible compact sets located on the associated (with this function) two-sheeted Stahl-Riemann surface is obtained.
引用
收藏
页码：888 / 898
页数：11
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