On influence of the arguments of coefficients of a power series expansion of an entire function on the growth of the maximum of its modulus

P. V. Filevich

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On influence of the arguments of coefficients of a power series expansion of an entire function on the growth of the maximum of its modulus

机译：整个函数的幂级数展开的系数的参数对其模数最大值的增长的影响

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摘要

The following question is discussed: How fast can the maximum of the modulus of one entire function grow in comparison with the maximum of the modulus of another function provided that the corresponding Taylor coefficients of both functions are equal in magnitude?

机译：讨论了以下问题：如果两个函数的相应泰勒系数在大小上相等，则一个完整函数的最大模数与另一个函数的最大模数相比增长多快？

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来源
《Siberian Mathematical Journal》 |2003年第3期|共10页
作者
P. V. Filevich;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
entire function; maximum of modulus; power series;

机译：整体功能;最大模数;幂级数;

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专利

1. On influence of the arguments of coefficients of a power series expansion of an entire function on the growth of the maximum of its modulus [J] . P. V. Filevich Siberian Mathematical Journal . 2003,第3期

机译：整个函数的幂级数展开的系数的参数对其模数最大值的增长的影响
2. CRITERIA FOR THE REGULARITY OF GROWTH OF THE LOGARITHM OF MODULUS AND THE ARGUMENT OF AN ENTIRE FUNCTION [J] . O. V. Bodnar, M. V. Zabolots’kyi Ukrainian mathematical journal . 2010,第7期

机译：模数对数增长的规律性和整个函数的论证
3. Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to pi(-1) [J] . Blagouchine Iaroslav V. Journal of Mathematical Analysis and Applications . 2016,第2期

机译：伽马函数对数的两个级数展开，涉及斯特林数，仅包含与pi（-1）相关的某些自变量的有理系数
4. Power Integral Representation for a Kronecker Power Series to a Multivariate Function and Its Coefficients [C] . METIN DEMIRALP International Conference on Signal Processing, Computational Geometry and Artificial Vision . 2013

机译：Kronecker Power系列的功率积分表示到多变量函数及其系数
5. Minimizing maximum regret for linear programs with interval objective function coefficients. [D] . Mausser, Helmut Ernst. 1997

机译：最小化具有间隔目标函数系数的线性程序的最大后悔。
6. On Some Growth Properties of Entire Functions Using Their Maximum Moduli Focusing (p q)th Relative Order [O] . Luis Manuel Sanchez Ruiz, Sanjib Kumar Datta, Tanmay Biswas, -1

机译：利用最大模聚焦（pq）相对阶论整函数的某些增长性质
7. Maximum modulus of entire functions of two variables and arguments of coefficients of double power series [O] . O. B. Skaskiv, A. O. Kuryliak 2011

机译：两个变量的整函数的最大模数和双幂级数系数的自变量

On influence of the arguments of coefficients of a power series expansion of an entire function on the growth of the maximum of its modulus

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