Asymptotic Properties of Entire Functions with Given Laws of Distribution of Zeros

被引：0
|
作者：
Sherstyukov V.B. [1 ]
机构：
[1] National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow
来源：
Journal of Mathematical Sciences | 2021年 / 257卷 / 2期
关键词：
30D15; 30D20; canonical product; condensation index; entire function; expansion into partial fractions; indicator; radius of completeness; representing system; system of exponents; type; upper and lower zero density;
D O I：
10.1007/s10958-021-05480-6
中图分类号：
学科分类号：
摘要：
This review was compiled from the author’s doctoral dissertation defended at the Moscow State University in February 2017. The author’s results obtained in the last decade are systematized and summarized. The research relates to the classical direction of the theory of entire functions of one variable devoted to the connection between the asymptotic behavior of an entire function and the distribution of its zeros on the complex plane. The results presented are applied to the theory of complete and representing systems of exponents in spaces of analytic functions. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：246 / 272
页数：26
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