![](images/graphics/blank.gif)
A meromorphic function
-
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
Download
-
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
Download
-
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
Download
-
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
Download
-
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
Download
-
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
Download
-
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
Download
-
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
Download
-
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
Download
-
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
Download
-
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
Download
-
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
Download
-
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
Download
-
In this paper, we gave a version of Nevanlinna five-value theorem and Hayman Conjecture for derivatives of p-adic meromorphic functions.
7p
doctorstrange1
21-06-2018
18
0
Download
-
The purpose of this chapter is largely to serve as an accessible introduction or a refresher of basic notions regarding analytic functions. We start by recalling the elementary theory of functions and their singularities in a style tuned to the needs of analytic combinatorics. Cauchy’s integral formula expresses coefficients of analytic functions as contour integrals. Suitable uses of Cauchy’s integral formula then make it possible to estimate such coefficients by suitably selecting an appropriate contour of integration.
70p
allbymyself_08
22-02-2016
57
3
Download
-
In 1961, Baker, Gammel and Wills conjectured that for functions f meromorphic in the unit ball, a subsequence of its diagonal Pad´ approximants e converges uniformly in compact subsets of the ball omitting poles of f . There is also apparently a cruder version of the conjecture due to Pad´ himself, going e back to the early twentieth century. We show here that for carefully chosen q on the unit circle, the Rogers-Ramanujan continued fraction 1+ qz| q 2 z| q 3 z| + + + ··· |1 |1 |1 provides a counterexample to the conjecture. We also highlight some...
44p
tuanloccuoi
04-01-2013
53
7
Download
-
Lars Ahlfors often spoke of his excitement as a young student listening to Rolf Nevanlinna's lectures on the new theory of meromorphic functions. It was, as he writes in his collected papers, his "first exposure to live mathematics." In his enormously influential research papers and in his equally influential books, Ahlfors shared with the reader, both professional and student, that excitement. The present volume derives from lectures given at Harvard over many years, and the topics would now be considered quite classical.
172p
hotmoingay
04-01-2013
41
2
Download
-
Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Some Subclasses of Meromorphic Functions Associated with a Family of Integral Operators
18p
dauphong17
22-02-2012
44
3
Download
-
Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Inclusion Properties for Certain Classes of Meromorphic Functions Associated with a Family of Linear Operators
12p
dauphong16
18-02-2012
44
2
Download
CHỦ ĐỀ BẠN MUỐN TÌM
![](images/graphics/blank.gif)