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

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• 作者：V. A. Bednazh ; E. G. Rodikova ; F. A. Shamoyan
• 关键词：Multiple interpolation ; A Laurent series ; The Nevanlinna characteristic ; Stolz angles
• 刊名：Complex Analysis and Operator Theory
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：11
• 期：1
• 页码：197-215
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general; Operator Theory; Analysis;
• 出版者：Springer International Publishing
• ISSN：1661-8262
• 卷排序：11

文摘

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.