A note on the uniqueness theorem of meromorphic mappings 被引量：4

A note on the uniqueness theorem of meromorphic mappings

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摘要 In this article, some uniqueness theorems of meromorphic mappings are proved. In this article, some uniqueness theorems of meromorphic mappings are proved.

作者 YAN Qiming CHEN Zhihua

机构地区 Department of Mathematics

出处《Science China Mathematics》 SCIE 2006年第3期360-365,共6页 中国科学：数学（英文版）

基金 supported by the National Natural Science Foundation of China(Grant No.10571135) Doctoral Program Foundation of the Ministry of China(Grant No.20050247011).

关键词 VALUE distribution theory UNIQUENESS theorem MEROMORPHIC mappings. value distribution theory, uniqueness theorem, meromorphic mappings.

分类号 N [自然科学总论]

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参考文献6

1[1]Nevanlinna,R.,Einige Eidentigkeitssatze in der Theorie der meromorphen Funktionen,Acta.Math.,1926,48:367-391.
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3[3]Yang,C.C.,Yi,H.X.,Uniqueness Theory of Meromorphic Functions (in Chinese),Beijing:Science Press,2003.
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5[5]Ji,S.,Uniqueness problem without multiplicities in value distribution theory,Pacific J.Math.,1998,135:323-348.
6[1]Thai,D.D.,Quang,S.D.,Uniqueness problem with truncated multiplicities of meromorphic mappings in several complex variables,preprint.

同被引文献15

1ZhiHua Chen,QiMing Yan.A note on uniqueness problem for meromorphic mappings with 2N+3 hyperplanes[J].Science China Mathematics,2010,53(10):2657-2663. 被引量：3
2Zhihua CHEN Qiming YAN.Uniqueness Theorem of Meromorphic Mappings with Moving Targets[J].Chinese Annals of Mathematics,Series B,2006,27(4):393-400. 被引量：2
3陈志华,李燕华,颜启明.UNIQUENESS PROBLEM WITH TRUNCATED MULTIPLICITIES OF MEROMORPHIC MAPPINGS FOR MOVING TARGETS[J].Acta Mathematica Scientia,2007,27(3):625-634. 被引量：4
4Rolf Nevanlinna.Einige Eindeutigkeitss?tze in der Theorie der Meromorphen Funktionen[J]. Acta Mathematica . 1926 (3-4)
5Dethloff G,Tan T V.Uniqueness theorems for meromorphic mappings with few hyperplanes. Bulletin des Sciences Mathematiques . 2009
6Fujimoto H.The uniqueness problem of meromorphic maps into the complex projective spaces. Nagoya Mathematical Journal . 1975
7Thai D D,Quang S D.Uniqueness problem with truncated multiplicities of meromorphic mappings in several complex variables. International Journal of Mathematics . 2006
8Chen Z,Yan Q.Uniqueness theorem of meromorphic mappings into P N (C) sharing 2N + 3 hyperplanes regardless of multiplicities. International Journal of Mathematics . 2009
9Smiley,L.Geometric conditions for unicity of holomorphic curves. Contemporary Mathematics . 1983
10Fujimoto,H.A uniqueness theorem of algebraically non-degenerate meromorphic maps intoPn(C). Nagoya Mathematical Journal . 1976

引证文献4

1ZhiHua Chen,QiMing Yan.A note on uniqueness problem for meromorphic mappings with 2N+3 hyperplanes[J].Science China Mathematics,2010,53(10):2657-2663. 被引量：3
2Feng LU,Hongxun YI.Some Results on the Uniqueness of Meromorphic Mappings[J].Chinese Annals of Mathematics,Series B,2009,30(4):421-426. 被引量：1
3吕锋.涉及截断重数的亚纯映射的唯一性问题[J].数学年刊（A辑）,2012,33(4):409-414.
4涂振汉,王中华.UNIQUENESS PROBLEM FOR MEROMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES INTO P^N(C) WITH TRUNCATED MULTIPLICITIES[J].Acta Mathematica Scientia,2013,33(1):122-130. 被引量：4

二级引证文献8

1ZhiHua Chen,QiMing Yan.A note on uniqueness problem for meromorphic mappings with 2N+3 hyperplanes[J].Science China Mathematics,2010,53(10):2657-2663. 被引量：3
2吕锋.涉及截断重数的亚纯映射的唯一性问题[J].数学年刊（A辑）,2012,33(4):409-414.
3涂振汉,王中华.UNIQUENESS PROBLEM FOR MEROMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES INTO P^N(C) WITH TRUNCATED MULTIPLICITIES[J].Acta Mathematica Scientia,2013,33(1):122-130. 被引量：4
4Hong Zhe CAO,Ting Bin CAO.Uniqueness Problem for Meromorphic Mappings in Several Complex Variables with Few Hyperplanes[J].Acta Mathematica Sinica,English Series,2015,31(8):1327-1338. 被引量：3
5曹红哲,许庆勇.涉及较少小映射的多复变亚纯映射唯一性定理[J].数学物理学报（A辑）,2015,35(6):1158-1167.
6周凯,金路.以较低截断重数分担超平面的亚纯映射的唯一性问题[J].数学物理学报（A辑）,2019,39(1):1-14.
7曹廷彬,阮海洪.亚纯映射分担移动目标的唯一性定理[J].南昌大学学报（理科版）,2023,47(2):103-108. 被引量：2
8杨刘.相交移动超曲面的亚纯映射的唯一性[J].数学年刊（A辑）,2019,40(1):35-42.

1ZhiHua Chen,QiMing Yan.A note on uniqueness problem for meromorphic mappings with 2N+3 hyperplanes[J].Science China Mathematics,2010,53(10):2657-2663. 被引量：3
2CHEN ZhiHua 1 , RU Min 2, & YAN QiMing 1 1 Department of Mathematics, Tongji University, Shanghai 200092, China,2 Department of Mathematics, University of Houston, Houston, TX 77204, USA.The truncated Second Main Theorem and uniqueness theorems[J].Science China Mathematics,2010,53(3):605-616. 被引量：2
3吴忠泽,李衍达,常迵.UNIQUENESS THEOREMS AND ALGORITHM FOR DISCRETE SIGNAL RECONSTRUCTION FROM ITS AUTOCORRELATION FUNCTION AND ONE SAMPLE[J].Science China Mathematics,1989,32(5):607-618. 被引量：1
4TU Zhenhan LI Pingli.Normal families of meromorphic mappings of several complex variables into P^(N)(C) for moving targets[J].Science China Mathematics,2005,48(z1):355-364. 被引量：3
5JIANG Long Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, China,Institute of Mathematics, Fudan University, Shanghai 200433, China,School of Mathematics and System Sciences, Shandong University, Jinan 250100, China.Limit theorem and uniqueness theorem of backward stochastic differential equations[J].Science China Mathematics,2006,49(10):1353-1362. 被引量：6
6ZHENG Quan (Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China).APPLICATIONS OF INTEGRATED SEMIGROUPS TO HIGHER ORDER ABSTRACT CAUCHY PROBLEMS[J].Systems Science and Mathematical Sciences,1992,5(4):316-327. 被引量：4

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A note on the uniqueness theorem of meromorphic mappings 被引量：4

参考文献6

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