The Infinite Hyper Order of Solutions of Differential Equation Related to Brück Conjecture

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2020-01-01 DOI:10.5666/KMJ.2020.60.4.797

Guowei Zhang, Jianming Qi

引用次数: 0

Abstract

The Brück conjecture is still open for an entire function f with hyper order of no less than 1/2, which is not an integer. In this paper, it is proved that the hyper order of solutions of a linear complex differential equation that is related to the Brück Conjecture is infinite. The results show that the conjecture holds in a special case when the hyper order of f is 1/2.

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与br ck猜想有关的微分方程解的无限超阶

对于超阶不小于1/2的整个函数f, br ck猜想仍然是开放的，它不是整数。本文证明了一类与br ck猜想有关的线性复微分方程解的超阶是无限的。结果表明，该猜想在f的超阶为1/2的特殊情况下成立。

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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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.