NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOCH PRINCIPLE 被引量：7

NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOCH PRINCIPLE

下载PDF

导出

摘要 In this paper, we investigate normal families of meromorphic functions, prove some theorems of normal families sharing a holomorphic function, and give a counterex- ample to the converse of the Bloch principle based on the theorems. In this paper, we investigate normal families of meromorphic functions, prove some theorems of normal families sharing a holomorphic function, and give a counterex- ample to the converse of the Bloch principle based on the theorems.

作者姜云波高宗升

机构地区 LMIB and School of Mathematics and Systems Science

出处《Acta Mathematica Scientia》 SCIE CSCD 2012年第4期1503-1512,共10页 数学物理学报（B辑英文版）

基金 Supported by the NSFC (11171013)

关键词 meromorphic function holomorphic function shared function normal family Bloch principle meromorphic function holomorphic function shared function normal family Bloch principle

分类号 O174.52 [理学—基础数学] TP393 [自动化与计算机技术—计算机应用技术]

引文网络
相关文献

参考文献2

1杨乐,杨重骏.Angular Distribution of Values of ff'[J].Science China Mathematics,1994,37(3):284-294. 被引量：3
2孙道椿.NORMALITY CRITERIA FOR FAMILIES OF MEROMORPHIC ALGEBROID FUNCTIONS[J].Acta Mathematica Scientia,2010,30(1):166-172. 被引量：3

二级参考文献10

1Nokrane A, Ransford T. Schwarz's lemma for algebroid multifunctions. Complex Variables Theory Appt, 2001, 45:183-196.
2Sun D C, Yang L. Normal family of algebroidat functions. Sci China Ser A, 2001, 44(10): 1271-1277.
3Lu Y N, Gu Y X. The existence of Borel's direction of algebroidal functions. Chinese Science Bulletin, 1985, (5): 264-266.
4Drasin D. Normal families and Nevanlinna theory. Acta Math, 1969, 122:231-263.
5Tu Z H. Normality criteria for families of holomorphie mappings of several complex variables on to p^N. Proceeding of the American Mathematical Society, 1999, 127(4): 1039-1049.
6He Y Z, Xiao X Z. Algebroidal Function and Ordinary Differential Equation. Beijing: Science Press, 1988.
7Hiong Q L. Sur les Fonctions Meromorphes et les Fonctions Algebroides. Paris: Paris Gauthier-Villars, 1957.
8Mokkon'ko A. Nevanlinna characteristics of a composition of rational and algebroid functions. Ukrain Mat Zh , 1982, 34: 388-396.
9Mokkon'ko A. Nevanlinna characteristics of a composition of rational and algebroid functions. Chinese J Contemp Math, 1993, 14(1): 67-73.
10Lacasse P, Ransford T. A Bloch theorem for algebroid multifunctions. Math Proc of Royal Irish Academy, 2000, 100A(2): 219-225.

共引文献4

1HAYMAN W. K..Value distribution theory and the research of Yang Lo[J].Science China Mathematics,2010,53(3):513-522. 被引量：1
2柴富杰,高宗升.THE NORMALITY OF ALGEBROID MULTIFUNCTIONS AND THEIR COEFFICIENT FUNCTIONS[J].Acta Mathematica Scientia,2015,35(1):121-132. 被引量：5
3龙见仁,邱春晖,伍鹏程.Borel方向与涉及重值的亚纯函数的唯一性[J].数学年刊（A辑）,2017,38(3):303-312. 被引量：1
4Daochun SUN,Yingying HUO,Fujie CHAI.NORMAL CRITERIA FOR A FAMILY OF HOLOMORPHIC CURVES[J].Acta Mathematica Scientia,2021,41(6):1887-1895.

同被引文献12

1LEI ChunLin 1 & FANG MingLiang 2, 1 Department of Applied Mathematics, South China Agricultural University, Guangzhou 510642, China,2 Institute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, China.Normality and shared values concerning differential polynomials[J].Science China Mathematics,2010,53(3):749-754. 被引量：8
2陈怀惠,顾永兴.Marty定则的改进及其应用[J].中国科学（A辑）,1993,23(2):123-129. 被引量：18
3陈怀惠,方明亮.关于f^nf'的值分布[J].中国科学（A辑）,1995,25(2):121-127. 被引量：40
4LU Qian,GU Yong-xing.Zeros of Differential Polynomial f（z）f（k）（z） -- a and Its Normality[J].Chinese Quarterly Journal of Mathematics,2009,24(1):75-80. 被引量：6
5鲍文竹,张兆迎.涉及一个微分多项式分担值的正规定则[J].成都信息工程学院学报,2010,25(2):210-212. 被引量：1
6杨连中,张继龙.ON SOME RESULTS OF YI AND THEIR APPLICATIONS IN THE FUNCTIONAL EQUATIONS[J].Acta Mathematica Scientia,2010,30(5):1649-1660. 被引量：3
7王跃飞.On Mues Conjecture and Picard Values[J].Science China Mathematics,1993,36(1):28-35. 被引量：3
8李国望,苏先锋,许道军.关于f^m(f^((k)))~n-φ(z)的零点[J].重庆师范大学学报（自然科学版）,2013,30(4):72-75. 被引量：2
9李效敏,仪洪勋.UNIQUENESS OF MEROMORPHIC FUNCTIONS WHOSE NONLINEAR DIFFERENTIAL POLYNOMIALS SHARE ONE VALUE OR HAVE THE SAME FIXED POINTS IN AN ANGULAR DOMAIN[J].Acta Mathematica Scientia,2014,34(3):593-609. 被引量：1
10杨祺.Normality Criteria of Meromorphic Functions Concerning Shared Fixed-points[J].Chinese Quarterly Journal of Mathematics,2015,30(1):20-29. 被引量：1

引证文献7

1张继龙,杨连中.DIFFERENTIAL POLYNOMIALS SHARING ONE VALUE[J].Acta Mathematica Scientia,2014,34(6):1865-1874.
2YANG QI.Normality Criteria of Meromorphic Functions Concerning Shared Analytic Function[J].Communications in Mathematical Research,2016,32(1):47-56. 被引量：1
3WANG QIONG,YUAN WEN-JUN,CHEN WEI,TIAN HONG-GEN.Normality Criteria of Meromorphic Functions[J].Communications in Mathematical Research,2016,32(1):88-96.
4邱玲,玄祖兴,李睿婕.亚纯函数涉及分担函数的正规定则[J].数学进展,2016,45(3):371-378. 被引量：2
5Nguyen Van THIN.NORMAL FAMILY OF MEROMORPHIC FUNCTIONS SHARING HOLOMORPHIC FUNCTIONS AND THE CONVERSE OF THE BLOCH PRINCIPLE[J].Acta Mathematica Scientia,2017,37(3):623-656. 被引量：1
6邓炳茂,雷春林,方明亮.涉及微分多项式分担函数的正规定则[J].数学物理学报（A辑）,2018,38(2):222-230.
7YANG Qi,YUAN Wen-jun,TIAN Hong-gen.The Normal Family of Meromorphic Functions Concerning Shared Analytic Function[J].Chinese Quarterly Journal of Mathematics,2022,37(1):26-36.

二级引证文献4

1刘凤莲,王德宝,张凤梅.依那普利与他巴唑联合应用治疗甲状腺功能亢进症20例近期疗效观察[J].医学理论与实践,2000,13(3):166-167. 被引量：2
2杨祺,杨锦华.亚纯函数的正规族与例外函数[J].华东师范大学学报（自然科学版）,2020(1):1-6.
3曾翠萍,邓炳茂,方明亮.涉及分担函数与分担值的正规定则[J].数学年刊（A辑）,2021,42(1):115-124. 被引量：1
4YANG Qi,YUAN Wen-jun,TIAN Hong-gen.The Normal Family of Meromorphic Functions Concerning Shared Analytic Function[J].Chinese Quarterly Journal of Mathematics,2022,37(1):26-36.

1QI Qiu-lan,ZHANG Yu-ping.Strong Converse Inequalities for Certain Mixed Szász-Beta Operators[J].Chinese Quarterly Journal of Mathematics,2011,26(1):152-158. 被引量：2
2章文华.Some Results on Unicity of Entire Functions Related to Normal Families[J].Journal of Shanghai Jiaotong university(Science),2006,11(1):113-115.
3DENG Bing-mao,LIU Dan,WANG Xue-qin,YA NG De-gui.Normal Families of Zero-free Meromorphic Functions II[J].Chinese Quarterly Journal of Mathematics,2014,29(3):438-446.
4Jianming QI,Guowei ZHANG,Weniun YUAN.Radically distributed value and normal families of meromorphic functions[J].Frontiers of Mathematics in China,2014,9(2):355-376.
5常建明.与分担值相关的正规族[J].中国科学（A辑）,2009,39(4):399-404. 被引量：4
6兰富祥.Normal families and shared values of meromorphic functions[J].Journal of Chongqing University,2007,6(4):291-293. 被引量：1
7马朝伟.Normal families of meromorphic functions[J].Journal of Chongqing University,2007,6(4):299-301.
8Guo Bin LI.Shared Sets and Normal Families[J].Journal of Mathematical Research and Exposition,2010,30(4):696-700.
9TIAN Hong-gent,CHEN Weit,YUAN Wen-jun.Normal Families of Meromorphic Functions and Shared Set[J].Chinese Quarterly Journal of Mathematics,2015,30(2):159-165.
10吕凤姣,李江涛.Normal families related to shared sets[J].Journal of Chongqing University,2008,7(2):155-157.

Acta Mathematica Scientia

2012年第4期

浏览历史

内容加载中请稍等...