MEROMORPHIC_FUNCTIONS

作品数:171被引量:318H指数:9
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相关作者:张学莲方明亮撒米尔姜淑珍阿美如更多>>
相关机构:山东大学北京理工大学南京师范大学南昌大学更多>>
相关期刊:《Journal of Applied Mathematics and Physics》《Communications in Mathematics and Statistics》《Applied Mathematics》《Communications in Mathematical Research》更多>>
相关基金:国家自然科学基金广东省自然科学基金山东省自然科学基金福建省自然科学基金更多>>
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FINITE RANGE SET WITH TRUNCATED MULTIPLICITY FOR MEROMORPHIC FUNCTIONS ON SOME COMPLEX DISC
《数学杂志》2024年第5期383-396,共14页WANG Yu-ting CAO Hong-zhe 
Supported by National Natural Science Foundation of China(12061041);Jiangxi Provincial Natural Science Foundation(20232BAB201003).
In this paper,we consider the truncated multiplicity finite range set problem of meromorphic functions on some complex disc.By using the value distribution theory of meromorphic functions,we establish a second main th...
关键词:meromorphic functions finite growth index complex disc finite range set trun-cated multiplicity 
Uniqueness on Difference Operators of Meromorphic Functions of Infinite Order
《Acta Mathematica Sinica,English Series》2024年第2期511-527,共17页Hui LI Ming Liang FANG Xiao YAO 
Supported by National Natural Science Foundation of China(Grant Nos.12071047,12171127,11901311);National Key Technologies R&D Program of China(Grant No.2020YFA0713300)。
We investigate the uniqueness problems of meromorphic functions and their difference operators by using a new method.It is proved that if a non-constant meromorphic function f shares a non-zero constant and ∞ countin...
关键词:UNIQUENESS meromorphic functions difference operators infinite order 
Meromorphic Functions Sharing Two Values
《Wuhan University Journal of Natural Sciences》2024年第1期7-12,共6页ZHAO Ying HUANG Zhigang 
Supported by the National Natural Science Foundation of China(11971344)。
Let f and g be two nonconstant meromorphic functions,and n be a positive integer.If f^(n)(z)and g^(n)(z)share 1 CM(counting multiplicities),f(z)and g(z)share∞IM(ignoring multiplicities),and N(r,1f)+N(r,1g)=S(r,f)+S(r...
关键词:meromorphic function shared values difference operator SHIFT 
THE EXACT MEROMORPHIC SOLUTIONS OF SOME NONLINEAR DIFFERENTIAL EQUATIONS
《Acta Mathematica Scientia》2024年第1期103-114,共12页刘慧芳 毛志强 
supported by the NSFC(12261044);the STP of Education Department of Jiangxi Province of China(GJJ210302)。
We find the exact forms of meromorphic solutions of the nonlinear differential equations■,n≥3,k≥1,where q,Q are nonzero polynomials,Q■Const.,and p_(1),p_(2),α_(1),α_(2)are nonzero constants withα_(1)≠α_(2).Co...
关键词:Nevanlinna theory nonlinear differential equations meromorphic functions entire functions 
QUASIPERIODICITY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS
《Acta Mathematica Scientia》2024年第1期161-172,共12页刘新玲 刘凯 Risto KORHONEN Galina FILIPUK 
partially supported by the NSFC(12061042);the NSF of Jiangxi(20202BAB201003);the support of the National Science Center(Poland)via grant 2017/25/B/ST1/00931;partially supported by the Project PID2021-124472NB-I00;funded by MCIN/AEI/10.13039/501100011033;by"EFDF A way of making Europe"。
This paper is devoted to considering the quasiperiodicity of complex differential polynomials,complex difference polynomials and complex delay-differential polynomials of certain types,and to studying the similarities...
关键词:QUASIPERIODICITY meromorphic functions complex delay-differential polynomials Nevanlinna theory 
SOME RESULTS REGARDING PARTIAL DIFFERENTIAL POLYNOMIALS AND THE UNIQUENESS OF MEROMORPHIC FUNCTIONS IN SEVERAL VARIABLES
《Acta Mathematica Scientia》2023年第2期821-838,共18页刘曼莉 高凌云 房少梅 
partially supported by the NSFC(11271227,11271161);the PCSIRT(IRT1264);the Fundamental Research Funds of Shandong University(2017JC019)。
In this paper,we mainly investigate the value distribution of meromorphic functions in Cmwith its partial differential and uniqueness problem on meromorphic functions in Cmand with its k-th total derivative sharing sm...
关键词:meromorphic function in several variables Nevanlinna theory partial differ-ential equation total derivative 
Set Sharing Results for Derivatives of Meromorphic Functions
《Journal of Mathematical Research with Applications》2022年第6期587-598,共12页Yuxin LI Weichuan LIN 
the National Natural Science Foundation of China (Grant No. 11801291);the Natural Science Foundation of Fujian Province (Grant Nos. 2019J01672;2020R0039)
In this paper,we investigate the uniqueness of the derivatives of meromorphic functions sharing two different sets,and obtain the result that if two transcendental meromorphic functions f and g satisfy Ef(k)(S)=Eg(k)(...
关键词:meromorphic function shared set uniqueness theorem 
On Starlike Meromorphic Functions of Orderα
《Journal of Mathematical Research with Applications》2022年第4期363-373,共11页Lei LIU Jinhua FAN 
Supported by the National Natural Science Foundation of China(Grant No.11871215)。
Let S(p)be the class of all univalent meromorphic functions f on the unit disk D with a simple pole at p∈(0,1).Forα∈[0,1),we denote byΣ^(*)(p,ω_(0),α)the class of f∈E S(p)such that C\f(D)is a starlike domain of...
关键词:meromorphic function starlike function Taylor coefficient Laurent coefficient 
Majorization and Fekete-Szegö Problems for Multivalent Meromorphic Functions Associated with the Mittag-Leffler Function
《Chinese Quarterly Journal of Mathematics》2022年第2期111-123,共13页LONG Pin-hong GANGADHARAN Murugusundaramoorthy HAN Hui-li WANG Wen-shuai 
Supported by Natural Science Foundation of Ningxia(Grant No.2020AAC03066);National Natural Science Foundation of China(Grant Nos.42064004 and 11762016).
The main object of this present paper is to investigate the problem of majorization of certain class of multivalent meromorphic functions of complex order involving Mittag-Leffler function. Meanwhile, for this subclas...
关键词:Meromorphic function Majorization problem Hadamard product(convolution) Mittag-Leer function Fekete-Szegöinequality 
The Normal Family of Meromorphic Functions Concerning Shared Analytic Function被引量:1
《Chinese Quarterly Journal of Mathematics》2022年第1期26-36,共11页YANG Qi YUAN Wen-jun TIAN Hong-gen 
Supported by the National Natural Science Foundation of China(Grant No.11961068).
In this paper,we study the normal criterion of meromorphic functions concerning shared analytic function.We get some theorems concerning shared analytic function,which improves some earlier related results.
关键词:Meromorphic function Shared function Normal family 
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