[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2020.60.4.797

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

Zhang, Guowei (School of Mathematics and Statistics, Anyang Normal University)
Qi, Jianming (School of Business, Shanghai Dianji University)

Publication Information

Kyungpook Mathematical Journal / v.60, no.4, 2020 , pp. 797-803 More about this Journal

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 Brüuck Conjecture is infinite. The results show that the conjecture holds in a special case when the hyper order of f is 1/2.

Keywords

entire function; hyper order; $Br{\ddot{u}}ck$ conjecture; complex differential equation;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
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