Regular growth of various characteristics of entire functions of order zero

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• 作者：N. V. Zabolotskii ; O. V. Kostyuk
• 关键词：entire function ; angular density ; Fourier coefficients ; order of a function
• 刊名：Mathematical Notes
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：100
• 期：3-4
• 页码：380-390
• 全文大小：669 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1573-8876
• 卷排序：100

文摘

We study the relationship between the strongly regular growth of an entire function f of order zero, the existence of the angular density of its zeros, the behavior of the Fourier coefficients of the logarithm of f, and the regular growth of the logarithm of the modulus and the argument of f in the Lp[0, 2π]-metric, p ≥ 1.