MEROMORPHIC

作品数:93被引量:158H指数:8
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相关领域:理学更多>>
相关作者:史君贤高凌云黄斌沈永祥王传荣更多>>
相关机构:乐山师范高等专科学校长沙交通学院武汉大学暨南大学更多>>
相关期刊:《Wuhan University Journal of Natural Sciences》《佳木斯大学学报(自然科学版)》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》更多>>
相关基金:国家自然科学基金广东省自然科学基金江苏省教育厅自然科学基金以色列科学基金更多>>
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A UNIQUENESS THEOREM FOR HOLOMORPHIC MAPPINGS IN THE DISK SHARING TOTALLY GEODESIC HYPERSURFACES
《Acta Mathematica Scientia》2022年第4期1631-1644,共14页Jiaxing HUANG Tuen Wai NG 
partially supported by a graduate studentship of HKU,the RGC grant(1731115);the National Natural Science Foundation of China(11701382);partially supported by the RGC grant(1731115 and 17307420)。
In this paper,we prove a Second Main Theorem for holomorphic mappings in a disk whose image intersects some families of nonlinear hypersurfaces(totally geodesic hypersurfaces with respect to a meromorphic connection) ...
关键词:Second Main Theorem meromorphic connection totally geodesic hypersurfaces uniqueness theorem 
Second Main Theorem for Meromorphic Maps into Algebraic Varieties Intersecting Moving Hypersurfaces Targets
《Chinese Annals of Mathematics,Series B》2021年第5期753-776,共24页Libing XIE Tingbin CAO 
supported by the National Natural Science Foundation of China(Nos.11871260,11461042)。
Since the great work on holomorphic curves into algebraic varieties intersecting hypersurfaces in general position established by Ru in 2009, recently there has been some developments on the second main theorem into a...
关键词:Algebraic varieties Holomorphic curves Nevanlinna theory Moving hypersurfaces 
On growth of meromorphic solutions of some kind of non-homogeneous linear difference equations
《Applied Mathematics(A Journal of Chinese Universities)》2019年第4期436-445,共10页ZHENG Xiu-Min ZHOU Yan-Ping 
Supported by the National Natural Science Foundation of China(No.11761035);the Natural Science Foundation of Jiangxi Province in China(No.20171BAB201002)
In this paper,we investigate the growth of meromorphic solutions of some kind of non-homogeneous linear difference equations with special meromorphic coefficients.When there are more than one coefficient having the sa...
关键词:Complex LINEAR DIFFERENCE EQUATION MEROMORPHIC solution order 
Transcendental Meromorphic Functions Whose First Order Derivatives Have Finitely Many Zeros
《Advances in Pure Mathematics》2019年第11期925-933,共9页Feng Guo 
Let f be a meromorphic function in C. If the order of f is greater than 2,has finitely many zeros and f takes a non-zero finite value finitely times, and then ?is unbounded.
关键词:TRANSCENDENTAL MEROMORPHIC Functions DERIVATIVES ZEROS 
ON FIXED POINTS OF MEROMORPHIC FUNCTIONS f(z) AND f(z+c),△_cf(z)被引量:2
《Acta Mathematica Scientia》2019年第5期1277-1289,共13页Shuangting LAN Zongxuan CHEN 
supported by the Natural Science Foundation of Guangdong Province in China(2016A030310106);the National Natural Science Foundation of China(11801110,11771090,11761035,11871260);the Foundation of Guangzhou Civil Aviation College(17X0419)
Let c be a nonzero constant and f(z) be a transcendental meromorphic function of finite order. Under some conditions, we study the relationships between the exponent of convergence of fixed points of f(z), its shift f...
关键词:fixed points MEROMORPHIC function DIFFERENCES 
Further Results on Meromorphic Functions and Their nth Order Exact Differences with Three Shared Values
《Communications in Mathematical Research》2019年第3期283-288,共6页CHEN SHENG-JIANG XU AI-ZHU LIN XIU-QIANG 
The NSF (11801291) of China,the NSF (2018J01424) of Fujian Province
Let E(a;f) be the set of a-points of a meromorphic function f(z) counting multiplicities. We prove that if a transcendental meromorphic function f(z) of hyper order strictly less than 1 and its nth exact difference Δ...
关键词:MEROMORPHIC function EXACT difference UNIQUENESS SHARED value 
On a certain classes of meromorphic functions with positive coefficients
《Applied Mathematics(A Journal of Chinese Universities)》2019年第3期253-260,共8页R.Asadi A.Ebadian S.Shams Janusz Sokol 
In this paper certain classes of meromorphic functions in punctured unit disk are defined.Some properties including coefficient inequalities,convolution and other results are investigated.
关键词:HADAMARD product UNIVALENT MEROMORPHIC functions 
A Uniqueness Theorem of Meromorphic Maps and a Generalization of the Borel’s Lemma
《Acta Mathematica Sinica,English Series》2019年第9期1464-1480,共17页Kai ZHOU Lu JIN 
Supported by the National Natural Science Foundation of China(Grant No.11331004)
This paper gives a generalization of the classical Borel’s Lemma. Then as an application of this generalized Borel’s Lemma, a uniqueness theorem for two linearly non-degenerate meromorphic maps of Cm into P^n(C)(n ...
关键词:Uniqueness theorem meromorphic map Borel’s Lemma HYPERPLANE 
Normality Criteria of Zero-free Meromorphic Functions被引量:1
《Chinese Quarterly Journal of Mathematics》2019年第3期221-231,共11页XIE Jia DENG Bing-mao 
Supported by the NNSF of China(No.11701188)
Let k be a positive integer,let h(z)■0 be a holomorphic functions in a domain D,and let F be a family of zero-free meromorphic functions in D,all of whose poles have order at least l.If,for each f∈P(f)(z)-h(z) has a...
关键词:MEROMORPHIC FUNCTION NORMALITY Zero-free 
On Uniqueness Problem of Meromorphic Functions Sharing Values with Their q-shifts
《Chinese Quarterly Journal of Mathematics》2019年第3期232-241,共10页ZHANG Shui-ying LIU Hui-fang 
Supported by the National Natural Science Foundation of China(11661044)
In this paper, the uniqueness problems on meromorphic function f(z) of zero order sharing values with their q-shift f(qz + c) are studied. It is shown that if f(z) and f(qz + c) share one values CM and IM respectively...
关键词:MEROMORPHIC Function UNIQUENESS SHARED Value SHIFT 
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