Search Results - Meromorphic functions in several variables
-
1
Normal Families of Meromorphic Functions in Several Variables
ISSN: 1617-9447, 2195-3724Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2024Published in Computational methods and function theory (01.09.2024)“…We extend the well-known Gu’s normality criterion for meromorphic functions of one complex variable to the case of several complex variables…”
Get full text
Journal Article -
2
Some Results Regarding Partial Differential Polynomials and the Uniqueness of Meromorphic Functions in Several Variables
ISSN: 0252-9602, 1572-9087Published: Singapore Springer Nature Singapore 01.03.2023Published in Acta mathematica scientia (01.03.2023)“…In this paper, we mainly investigate the value distribution of meromorphic functions in ℂ…”
Get full text
Journal Article -
3
SOME RESULTS REGARDING PARTIAL DIFFERENTIAL POLYNOMIALS AND THE UNIQUENESS OF MEROMORPHIC FUNCTIONS IN SEVERAL VARIABLES
ISSN: 0252-9602Published: Department of Mathematics,South China Agricultural University,Guangzhou 510642,China%Department of Mathematics,Jinan University,Guangzhou 510632,China 2023Published in 数学物理学报(英文版) (2023)“…In this paper,we mainly investigate the value distribution of meromorphic func-tions in Cm with its partial differential and uniqueness problem on meromorphic functions in Cm and with its k-th total…”
Get full text
Journal Article -
4
Hayman conjecture for p-adic meromorphic functions in several variables
ISSN: 2070-0466, 2070-0474Published: Dordrecht SP MAIK Nauka/Interperiodica 01.07.2012Published in P-adic numbers, ultrametric analysis, and applications (01.07.2012)“…In this paper we prove a generalized version of the Hayman Conjecture for p -adic meromorphic functions in several variables…”
Get full text
Journal Article -
5
A topological splitting of the space of meromorphic germs in several variables and continuous evaluators
ISSN: 2524-7581, 2197-120XPublished: Cham Springer International Publishing 01.03.2024Published in Complex analysis and its synergies (01.03.2024)“…We prove a topological decomposition of the space of meromorphic germs at zero in several variables with prescribed linear poles as a sum of spaces of holomorphic and polar germs…”
Get full text
Journal Article -
6
The star function for meromorphic functions of several complex variables
ISSN: 1747-6933, 1747-6941Published: Colchester Taylor & Francis 02.01.2019Published in Complex variables and elliptic equations (02.01.2019)“…We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables…”
Get full text
Journal Article -
7
On the convergence of certain sequences of rational approximants to meromorphic functions in several variables
ISSN: 0021-9045, 1096-0430Published: Elsevier Inc 01.10.2004Published in Journal of approximation theory (01.10.2004)“… of the “de Montessus de Ballore's Theorem” for meromorphic functions in several variables is established…”
Get full text
Journal Article -
8
On Rational Interpolation to Meromorphic Functions in Several Variables
ISSN: 0021-9045, 1096-0430Published: Elsevier Inc 01.08.2000Published in Journal of approximation theory (01.08.2000)“…In this paper, a new approach to construct rational interpolants to functions of several variables is considered…”
Get full text
Journal Article -
9
Hilbert's tenth problem for complex meromorphic functions in several variables
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 26.11.2017Published in arXiv.org (26.11.2017)“… More precisely, we prove that the set of integers is positive existentially definable in fields of complex meromorphic functions in several variables over the language of rings, together…”
Get full text
Paper -
10
The q-Difference Theorems for Meromorphic Functions of Several Variables
ISSN: 1085-3375, 1687-0409Published: Cairo, Egypt Hindawi Limiteds 01.01.2014Published in Abstract and Applied Analysis (01.01.2014)“…We investigate q -shift analogue of the lemma on logarithmic derivative of several variables…”
Get full text
Journal Article -
11
A Difference Picard Theorem for Meromorphic Functions of Several Variables
ISSN: 1617-9447, 2195-3724Published: Berlin/Heidelberg Springer-Verlag 01.06.2012Published in Computational methods and function theory (01.06.2012)“…It is shown that if n ∈ ℕ, c ∈ ℂ n , and three distinct values of a meromorphic function f : ℂ…”
Get full text
Journal Article -
12
On the size of multivariate polynomial lemniscates and the convergence of rational approximants
ISSN: 0021-9045, 1096-0430Published: Elsevier Inc 01.12.2006Published in Journal of approximation theory (01.12.2006)“…In a previous paper, the author introduced a class of multivariate rational interpolants, which are called optimal Padé-type approximants (OPTA). The main goal…”
Get full text
Journal Article -
13
Value distribution of q-differences of meromorphic functions in several complex variables
ISSN: 0133-3852, 1588-273XPublished: Cham Springer International Publishing 01.12.2020Published in Analysis mathematica (Budapest) (01.12.2020)“…In this paper, we study q -difference analogues of several central results in value distribution theory of several complex variables such as q -difference versions of the logarithmic derivative lemma…”
Get full text
Journal Article -
14
Partial and Local Argument Properties of Holomorphic and Meromorphic Complex Functions in Several Variables
ISSN: 1024-123X, 1563-5147Published: Cairo, Egypt Hindawi Publishing Corporation 2019Published in Mathematical problems in engineering (2019)“…The study describes a general argument analysis technique for holomorphic and meromorphic complex functions in several variables, or simply n-variable complex functions with n≥2…”
Get full text
Journal Article -
15
Periodic behavior of meromorphic functions sharing values with their shifts in several complex variables
ISSN: 0019-5588, 0975-7465Published: 29.03.2025Published in Indian journal of pure and applied mathematics (29.03.2025)Get full text
Journal Article -
16
Difference analogues of the second main theorem for meromorphic functions in several complex variables
ISSN: 0025-584X, 1522-2616Published: Weinheim Blackwell Publishing Ltd 01.04.2014Published in Mathematische Nachrichten (01.04.2014)“…In this paper, we obtain difference analogues of the second main theorem for meromorphic functions in several complex variables from which difference analogues of Picard…”
Get full text
Journal Article -
17
Uniqueness Theorems of Meromorphic Functions and Their Differences in Several Complex Variables
ISSN: 1617-9447, 2195-3724Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2022Published in Computational methods and function theory (01.06.2022)“…In this paper, making use of the value distribution theory for meromorphic functions in several complex variables and its difference analogues, we mainly consider the uniqueness problem…”
Get full text
Journal Article -
18
A Uniqueness Theorem for Meromorphic Functions Concerning Total Derivatives in Several Complex Variables
ISSN: 0126-6705, 2180-4206Published: Singapore Springer Singapore 01.11.2020Published in Bulletin of the Malaysian Mathematical Sciences Society (01.11.2020)“…Motivated by many differences for the total derivative between entire functions and meromorphic functions, we mainly investigate the uniqueness problems for meromorphic functions in several complex…”
Get full text
Journal Article -
19
Theorems of Picard type for meromorphic function of several complex variables
ISSN: 1747-6933, 1747-6941Published: Colchester Taylor & Francis Group 01.08.2013Published in Complex variables and elliptic equations (01.08.2013)“…In the work, we generalize several results of Picard type for meromorphic functions from one complex variable to several complex variables, which improve a related theorem given by Jin [L…”
Get full text
Journal Article -
20
Clunie lemma in several complex variables and application in PDEs: Clunie lemma in several complex variables and application in PDEs
ISSN: 1578-7303, 1579-1505Published: Cham Springer International Publishing 01.10.2025Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01.10.2025)“…–Clunie type theorem for meromorphic functions of one complex variable to meromorphic functions of several complex variables by using Clunie lemma…”
Get full text
Journal Article