UNIQUENESS RESULTS OF MEROMORPHIC FUNCTIONS WHOSE DERIVATIVES SHARE FOUR SMALL FUNCTIONS

UNIQUENESS RESULTS OF MEROMORPHIC FUNCTIONS WHOSE DERIVATIVES SHARE FOUR SMALL FUNCTIONS

We prove an oscillation theorem of two meromorphic functions whose derivatives share four values IM. From this we obtain some uniqueness theorems, which improve the corresponding results given by Yang [16] and Qiu [10], and supplement results given by Nevanlinna [9] and Gundersen [3, 4]. Some exampl...

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Veröffentlicht in:Acta mathematica scientia 2012-07, Vol.32 (4), p.1593-1606
1. Verfasser: 李效敏 仪洪勋 胡海燕
Format: Artikel
Sprache:eng
Schlagworte:
30D30
30D35
meromorphic function
Nevanlinna theory
order of growth
shared value
uniqueness
亚纯函数
公共小函数
定理
导数
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Zusammenfassung:We prove an oscillation theorem of two meromorphic functions whose derivatives share four values IM. From this we obtain some uniqueness theorems, which improve the corresponding results given by Yang [16] and Qiu [10], and supplement results given by Nevanlinna [9] and Gundersen [3, 4]. Some examples are provided to show that the results in this paper are best possible.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(12)60126-X