Multiple Interpolation and Principal Parts of a Laurent Series for Meromorphic Functions in the Unit Disk with Power Growth of the Nevanlinna Characteristic

被引：2

作者：

Bednazh, V. A. ^{[1
]}

Rodikova, E. G. ^{[1
]}

Shamoyan, F. A. ^{[1
]}

机构：

[1] Bryansk State Univ, Dept Math Anal, Bezhitskaya Str 14, Bryansk 241036, Russia

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 01期

关键词：

Multiple interpolation; A Laurent series; The Nevanlinna characteristic; Stolz angles;

D O I：

10.1007/s11785-016-0592-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we solve the multiple interpolation problem in the class of analytic functions in the unit disk with power growth of the Nevanlinna characteristic under the condition that interpolation nodes are contained in a finite union of Stolz angles and describe the principal parts of a Laurent series of meromorphic functions with the same restrictions on the Nevanlinna characteristic.

引用

页码：197 / 215

页数：19

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