On Localization of Zeros of an Entire Function of Finite Order of Growth

详细信息    查看全文

• 作者：Alexander M. Kytmanov ; Olga V. Khodos
• 关键词：Entire functions of finite order of growth ; Localization of zeros
• 刊名：Complex Analysis and Operator Theory
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：11
• 期：2
• 页码：393-416
• 全文大小：565KB
• 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

The aim of the article is to find conditions on coefficients of a Taylor expansion of an entire function of finite order of growth in \( \mathbb C \) that guarantee a specified number of zeros. If the Taylor coefficients of f are real we also give conditions to determine whether the number of real and imaginary zeros is finite or infinite, and whether they are real or imaginary.