奇异点附近线性微分方程解的有限阶和无穷阶增长

IF 0.3 Q4 MATHEMATICS

Mathematica Bohemica Pub Date : 2020-10-06 DOI:10.21136/mb.2020.0148-19

Samir Cherief, S. Hamouda

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引用次数: 2

摘要

在本文中，我们研究了一类线性微分方程解的增长，其中系数是除有限奇异点外的闭合复平面中的解析函数。为此，我们将使用Rolf Nevanlinna开发的亚纯函数的值分布理论和适当的定义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finite and infinite order of growth of solutions to linear differential equations near a singular point

. In this paper, we investigate the growth of solutions of a certain class of linear diﬀerential equation where the coeﬃcients are analytic functions in the closed complex plane except at a ﬁnite singular point. For that, we will use the value distribution theory of meromorphic functions developed by Rolf Nevanlinna with adapted deﬁnitions.

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来源期刊

Mathematica Bohemica MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

52 weeks