TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES

doi:10.1016/S0252-9602(14)60129-6

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (6): 1854-1864.doi: 10.1016/S0252-9602(14)60129-6

TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES

曹红哲|曹廷彬

Department of Mathematics, Nanchang University, Nanchang 330031, China

收稿日期:2013-05-14 修回日期:2013-11-04 出版日期:2014-11-20 发布日期:2014-11-20
基金资助:
This research was partly supported by the NSFC (11401291, 11101201), the NSF of Jiangxi (2012 2BAB211001) and NSF of ED of Jiangxi (GJJ13077).

TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES

CAO Hong-Zhe, CAO Ting-Bin

Department of Mathematics, Nanchang University, Nanchang 330031, China

Received:2013-05-14 Revised:2013-11-04 Online:2014-11-20 Published:2014-11-20
Supported by:
This research was partly supported by the NSFC (11401291, 11101201), the NSF of Jiangxi (2012 2BAB211001) and NSF of ED of Jiangxi (GJJ13077).

摘要/Abstract

摘要：

Using the techniques proposed in [3], we prove that two nonconstant meromor-phic functions f and g on C must be linked by a quasi-M¨obius transformation if they share some pairs of small functions with more precise truncated multiplicities, which improve and extend the results of Duc Quang Si.

关键词: meromorphic function, small function, truncated multiplicities, quasi-M¨obius transformation

Abstract:

Key words: meromorphic function, small function, truncated multiplicities, quasi-M¨obius transformation

中图分类号:

32H20

曹红哲, 曹廷彬. TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES[J]. 数学物理学报(英文版), 2014, 34(6): 1854-1864.

CAO Hong-Zhe, CAO Ting-Bin. TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES[J]. Acta mathematica scientia,Series B, 2014, 34(6): 1854-1864.

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TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES

TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES

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