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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

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

Uniqueness for meromorphic solutions of Schwarzian differential equation

open access: yesAIMS Mathematics, 2021
$ \begin{align*} \left[\frac{f'''}{f'}-\frac{3}{2}\left(\frac{f''}{f'}\right)^{2}\right]^{k} = R(z). \end{align*} $ We investigate the uniqueness of meromorphic solutions of the above Schwarzian differential equation if the meromorphic solution $ f ...
Dan-Gui Yao   +2 more
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

Finiteness of meromorphic functions on an annulus sharing four values regardless of multiplicity [PDF]

open access: yesMathematica Bohemica, 2020
This paper deals with the finiteness problem of meromorphic funtions on an annulus sharing four values regardless of multiplicity. We prove that if three admissible meromorphic functions $f_1$, $f_2$, $f_3$ on an annulus $\mathbb A({R_0})$ share four ...
Duc Quang Si, An Hai Tran
doaj   +1 more source

An Inequality of Meromorphic Vector Functions and Its Application

open access: yesAbstract and Applied Analysis, 2011
Firstly, an inequality for vector-valued meromorphic functions is established which extend a corresponding inequality of Milloux for meromorphic scalar-valued function (1946).
Wu Zhaojun, Chen Yuxian
doaj   +1 more source

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