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Meromorphic function
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Continued part 1, part 2 of ebook "Holomorphic functions and integral representations in several complex variables" provides readers with contents including: the levi problem and the solution of δ on strictly pseudoconvex domains; function theory on domains of holomorphy in Cn; topics in function theory on strictly pseudoconvex domains;...
198p
lytamnguyet
04-08-2023
10
4
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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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The purpose of this article "On meromorphic functions with maximal defect sum" is twofold. The first is to give necessary conditions for the maximality of the defect sum. The second is to show that the class of meromorphic functions with maximal defect sum is very thin in the sense that deformations of meromorphic functions with maximal defect sum by small meromorphic functions are not meromorphic functions with maximal defect sum.
12p
runordie5
04-07-2022
5
1
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The relation between weak extensibility and extensibility of vector-valued holomorphic functions on open sets and on compact sets has been investigated by many authors, for example Ligocka and Siciak for open sets in a metric vector space, Siciakand Waelbroeck for compact sets in \({{C^n}}\), N. V. Khue and B. D. Tac for compact sets in a nuclear metric vector space. The aim of the present note is to prove some results for Banach-valued meromorphic functions on open sets and on compact sets in \({{C^n}}\).
6p
runordie5
04-07-2022
22
3
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In the note "Weak Runge pairs in \({C^n}\)", the authors give a characterization for a pair of pseudoconvex domains in \({C^n}\), (D', D), D' \( \subset \) D such that holomorphic functions on D' can be approximated uniformly on compact sets by meromorphic function on D. Explicit examples are also given.
8p
runordie5
04-07-2022
8
2
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The aim of the paper "Extending hypersurfaces and meromorphic functions" is to investigate the extension of hypersurfaces in the case where Ω is a spread domain over a locally convex space having the Levi property. From the obtained result the authors show that every meromorphic function from a spread domain Ω over a locally convex space having the Levi property with values in a sequentially complete locally convex space can be extended meromorphically to its envelope of holomorphy.
7p
runordie5
04-07-2022
4
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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We show that the analogue of Mason Theorem for p-adic entire function in several variables is true. The following will be discussed in this paper: Height of p−adic holomorphic functions of several variables, Height of p−adic meromorphic functions of several variables.
10p
tradaviahe12
06-01-2021
15
1
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In this article, we use standard notations from the value distribution theory. We de-note the order of growth of f(z) by ÍT(/). In this paper, by using Nevanlinna theory, we study the growth the solution of differential equation.
8p
vimessi2711
02-04-2019
21
1
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In this paper, we prove some normality criterias for two families meromorphic functions sharing sets and values related with above result. Up to now, our results are new.
4p
vimessi2711
02-04-2019
14
0
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In this paper, we will consider the k-th derivative instead of the first derivative of the meromorphic functions. Thus, our work generalizes the related results due to Kamal Boussaf, Alain Escassut and Jacqueline Ojeda
7p
vimessi2711
02-04-2019
8
0
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In this paper, we mainly investigate the uniqueness problem on meromorphic functions in Cm sharing small functions with their difference operators or shifts, and we obtain some interesting results that act as some extensions of previous results from one complex variable to several complex variables.
25p
nutifooddau
21-01-2019
22
1
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A typical problem in the theory of analytic functions is to study a functional made up of combinations of coefficients of the original function. Usually, there is a parameter over which the extremal value of the functional is needed. One of the important functionals of this type is the Fekete–Szegö functional defined on the class of analytic functions. In this paper we transfer the Fekete–Szegö problem to some classes of meromorphic functions.
7p
nutifooddau
21-01-2019
30
1
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In this article, we prove some normality criteria for a family of meromorphic functions, which involves sharing of a nonzero value by certain differential monomials generated by the members of the family. These results generalize some of the results of Schwick.
16p
danhdanh27
07-01-2019
17
1
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In this paper, we utilize Nevanlinna value distribution theory to study the uniqueness problem that a meromorphic function and its difference operator share two sets with weight k . Our results extend the previous results.
9p
danhdanh27
07-01-2019
19
1
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In this paper, we give a new characterization of Mobius transformations. To this end, a new concept of “Apollonius points of pentagons” is used.
7p
danhdanh27
07-01-2019
14
1
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In the paper we consider the problem of uniqueness of derivatives of meromorphic functions when they share two or three sets and obtained five results which will improve all the existing results.
14p
tuongvidanh
06-01-2019
24
1
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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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Nevanlinna five value theorem for p adic meromorphic functions and their derivatives. In this paper, we gave a result similar to the Nevanlinna five-value theorem.
5p
cumeo2425
02-07-2018
25
1
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In this paper, we study the uniqueness problem on difference polynomials and its differential of meromorphic function sharing a common value.
6p
vision1234
30-06-2018
19
1
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