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Milloux Inequality of E-Valued Meromorphic Function [PDF]

open access: yesThe Scientific World Journal, 2014
The main purpose of this paper is to establish the Milloux inequality of E-valued meromorphic function from the complex plane ℂ to an infinite dimensional complex Banach space E with a Schauder basis.
Zhaojun Wu, Zuxing Xuan
doaj   +2 more sources

Exceptional Values of Meromorphic Function on Annulus [PDF]

open access: yesThe Scientific World Journal, 2013
The main purpose of this paper is to study the exceptional values of meromorphic function and its derivative on annulus. We also give some theorems and corollaries about exceptional values of meromorphic function on the annulus, which are the improvement
Hong-Yan Xu
doaj   +2 more sources

Formula for meromorphic symmetric differences operator with application in the theory of subordination inequality [PDF]

open access: yesHeliyon, 2023
This investigation deals with a new symmetric formula for a class of meromorphic analytic functions in the puncher open unit disk. Accordingly, the symmetric formula is employed to define a convolution linear operator associated with a special function ...
Ibtisam Aldawish
doaj   +2 more sources

Periodic meromorphic functions [PDF]

open access: bronzeActa Mathematica, 1991
On caractérise comme suit les sous-groupes additifs \(\Gamma\) de \({\mathbb{C}}^ n\) pour lesquels il existe une fonction F méromorphe sur \({\mathbb{C}}^ n\) dont les périodes forment un groupe discret \(\supset \Gamma:\) il faut et il suffit qu'il existe sur \({\mathbb{C}}^ n\) une forme hermitienne définie \(>0\) dont la partie imaginaire prenne ...
F. Capocasa, Fabrizio Catanese
openalex   +3 more sources

Some Theorems on Meromorphic Functions [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1950
In this paper we extend Theorems A and B. Let (5) F(z) = zk7 exp (H(z))f(z)/g(z) be any meromorphic function of finite order p. Here H(z) is a polynomial of degree h; f(z) and g(z) are canonical products of orders pi, P2 and genera p, q respectively. The genus of F(z) is P =max (p, q, h) and we have p-1
Yoshitomo Okada
openalex   +2 more sources

Meromorphic Functions Sharing a Small Function [PDF]

open access: yesAbstract and Applied Analysis, 2007
We will study meromorphic functions that share a small function, and prove the following result: let f(z) and g(z) be two transcendental meromorphic functions in the complex plane and let n≥11 be a positive integer. Assume that a(z)(≢0) is a common small
Songmin Wang, Zongsheng Gao
doaj   +4 more sources

A note on the location of poles of meromorphic functions [PDF]

open access: yesJournal of Hyperstructures, 2021
A meromorphic function on an open set D contained in the finite complex plane C is of the form of the ratio betweentwo analytic functions defined on D with denominator not identically zero.
Sanjib Kumar Datta, Tanchar Molla
doaj   +1 more source

Subclasses of Meromorphic Functions Associated with Convolution

open access: yesJournal of Inequalities and Applications, 2009
Several subclasses of meromorphic functions in the unit disk are introduced by means of convolution with a given fixed meromorphic function. Subjecting each convoluted-derived function in the class to be subordinated to a given normalized convex ...
Ravichandran V   +3 more
doaj   +2 more sources

Fuzzy Differential Subordination for Meromorphic Function Associated with the Hadamard Product

open access: yesAxioms, 2023
This paper is related to fuzzy differential subordinations for meromorphic functions. Fuzzy differential subordination results are obtained using a new operator which is the combination Hadamard product and integral operator for meromorphic function.
Sheza M. El-Deeb, Alina Alb Lupaş
doaj   +1 more source

On a Harry–Dym-Type Hierarchy: Trigonal Curve and Quasi-Periodic Solutions

open access: yesMathematics, 2022
Resorting to the characteristic polynomial of Lax matrix for a Harry–Dym-type hierarchy, we define a trigonal curve, on which appropriate vector-valued Baker–Akhiezer function and meromorphic function are introduced.
Qi Feng, Lihua Wu
doaj   +1 more source

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