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Meromorphic mapping
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Using the second main theorem of value distribution theory and Borel’s lemma, Nevanlinna proved that for two nonconstant meromorphic functions \(f\) and \(g\) on the complex plane C, if they have the same inverse images for five distinct values, then \(f \equiv g\), and that \(g\) is a special type of linear fractional transformation of \(f\) if they have the same inverse images, counted with multiplicities, for four distinct values.
10p
runordie5
04-07-2022
3
2
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In the article "Uniqueness theorems for meromorphic mappings with few hyperplanes", we prove some uniqueness theorems for meromorphic mappings into \({P^n}(C)\) which share few hyperplanes with truncated counting multiplicities without condition on the intersections of the inverse images of these hyperplanes.
14p
runordie5
04-07-2022
12
2
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The purpose of the article "A uniqueness theorem for meromorphic mappings with a small set of identity" is to show a uniqueness theorem for meromorphic mappings of Cm into CPn with truncated multiplicities and a small set of identity.
10p
runordie5
04-07-2022
6
2
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Objectives of research: The thesis is to give and prove some uniaueness theorems of the meromorphic functions f(z) on the complex plane which has hyperorder plane less than 1 share a part of the values with its f(z + c).
27p
thebadguys
08-06-2021
12
3
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In this article, we will prove a algebraic dependences theorem for meromorphic mappings sharing moving hyperplanes with different multiple and a general condition on the intersections of the inverse images of these hyperplanes.
9p
tamynhan9
02-12-2020
7
2
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It is our main purpose of the present paper to present our answers to the above problem. Moreover, they also are remarkable improvements of the results in [TQ2], [DT1], [DT2]. To state some of them, first of all we recall the following.
6p
cumeo2008
02-07-2018
27
2
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A uniqueness theorem for meromorphic mappings with hypersurfaces and without counting multiplicities
In 1926, R. Nevanlinna [6] showed that for two nonconstant meromorphic functions f and g on the complex plane C , if they have the same inverse images for five distinct values then f=g. In 1975, H. Fujimoto [4] generalized the above result to the case of meromorphic mappings of m C into n.
4p
cumeo2006
02-07-2018
35
1
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Đề tài " Extension properties of meromorphic mappings with values in non-K¨ahler complex manifolds "
Statement of the main result. Denote by Δ(r) the disk of radius r in C, Δ := Δ(1), and for 0
44p
tuanloccuoi
04-01-2013
44
7
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Trong bài báo này, chúng tôi cung cấp cho một số kết quả về số lượng của ánh xạ meromorphic của Cm vào CP n trong điều kiện là những hình ảnh nghịch đảo của hyperplanes trong CP n. Đồng thời, chúng tôi đưa ra một câu trả lời cho một câu hỏi mở được đặt ra bởi H. Fujimoto vào năm 1998.
24p
phalinh21
01-09-2011
73
3
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