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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description	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.
doi_str_mv	10.1016/S0252-9602(12)60126-X
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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.</description><identifier>ISSN: 0252-9602</identifier><identifier>EISSN: 1572-9087</identifier><identifier>DOI: 10.1016/S0252-9602(12)60126-X</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>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</subject><ispartof>Acta mathematica scientia, 2012-07, Vol.32 (4), p.1593-1606</ispartof><rights>2012 Wuhan Institute of Physics and Mathematics</rights><rights>Copyright © Wanfang Data Co. Ltd. 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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.</description><subject>30D30</subject><subject>30D35</subject><subject>meromorphic function</subject><subject>Nevanlinna theory</subject><subject>order of growth</subject><subject>shared value</subject><subject>uniqueness</subject><subject>亚纯函数</subject><subject>公共小函数</subject><subject>定理</subject><subject>导数</subject><issn>0252-9602</issn><issn>1572-9087</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqFkF1PgzAUhhujiXP6E0zqnV6gbSkFrswyOyFhoBTm7hpk7WSZTGG6-e_tPtRLr05y8n6c8wBwjtE1RpjdCEQcYvkMkUtMrhjChFnjA9DBjmvWyHMPQedXcgxO2naGjI8w2gHjPA4fcx5zIWDKRR5lAiYDOORpMkzShyDsw0Ee97MwiQV8ChLB4R1Pw1EvC0dcQBH0Ug4HSZ5CMexF0Z_4FBzpYt6qs_3sgnzAs35gRcl92O9FVmljd2mxifZ0SRWltu8ybW7Svu9pT3nERxNCS00LRTzta2a7LqLKdhyCsWKYOBoj3-6Cq13uqqh1UU_lbPHR1KZRtuvVfP0sFTFAEEXEM1pnpy2bRds2Ssu3pnotmi-JkdyglFuUcsNJYiK3KOXY-G53PmUe-axUI9uyUnWpJlWjyqWcLKp_Ey72zS-LevpemTt_qinxMLaZb38DDm1-OQ</recordid><startdate>20120701</startdate><enddate>20120701</enddate><creator>李效敏仪洪勋胡海燕</creator><general>Elsevier Ltd</general><general>Department of Physics and Mathematics, University of Eastern Finland,P. 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Box 111, 80101 Joensuu, Finland%Department of Mathematics, Ocean University of China, Qingdao 266100, China%Department of Mathematics, Shandong University, Jinan 250100, China</general><general>Department of Mathematics, Ocean University of China, Qingdao 266100, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20120701</creationdate><title>UNIQUENESS RESULTS OF MEROMORPHIC FUNCTIONS WHOSE DERIVATIVES SHARE FOUR SMALL FUNCTIONS</title><author>李效敏仪洪勋胡海燕</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c317t-6df8fc4e443976f264f998f8e8290d24cf4ae28f9f637704e355211e6125f1093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>30D30</topic><topic>30D35</topic><topic>meromorphic function</topic><topic>Nevanlinna theory</topic><topic>order of growth</topic><topic>shared value</topic><topic>uniqueness</topic><topic>亚纯函数</topic><topic>公共小函数</topic><topic>定理</topic><topic>导数</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>李效敏仪洪勋胡海燕</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Acta mathematica scientia</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>李效敏仪洪勋胡海燕</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>UNIQUENESS RESULTS OF MEROMORPHIC FUNCTIONS WHOSE DERIVATIVES SHARE FOUR SMALL FUNCTIONS</atitle><jtitle>Acta mathematica scientia</jtitle><addtitle>Acta Mathematica Scientia</addtitle><date>2012-07-01</date><risdate>2012</risdate><volume>32</volume><issue>4</issue><spage>1593</spage><epage>1606</epage><pages>1593-1606</pages><issn>0252-9602</issn><eissn>1572-9087</eissn><abstract>We prove an oscillation theorem of two meromorphic functions whose derivatives share four values IM. 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subjects	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
title	UNIQUENESS RESULTS OF MEROMORPHIC FUNCTIONS WHOSE DERIVATIVES SHARE FOUR SMALL FUNCTIONS
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