Kodai Mathematical Journal

Normal families and uniqueness theorem of holomorphic functions

Feng Lü, Kai Liu, and Hongxun Yi

Full-text: Open access

Abstract

In the paper, we have two purposes. Firstly, we prove two theorems and two corollaries of normal families which improve and generalize some results of Pang and Zalcman [9], Zhang, Sun and Pang [13], Chang and Fang [2]. Secondly, we use the theory of normal families and differential equations to obtain a uniqueness theorem of entire function which is an improvement of Chang and Fang [1].

Article information

Source
Kodai Math. J., Volume 33, Number 2 (2010), 217-232.

Dates
First available in Project Euclid: 2 July 2010

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1278076338

Digital Object Identifier
doi:10.2996/kmj/1278076338

Mathematical Reviews number (MathSciNet)
MR2681536

Zentralblatt MATH identifier
1196.30025

Citation

Lü, Feng; Liu, Kai; Yi, Hongxun. Normal families and uniqueness theorem of holomorphic functions. Kodai Math. J. 33 (2010), no. 2, 217--232. doi:10.2996/kmj/1278076338. https://projecteuclid.org/euclid.kmj/1278076338


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