A space of meromorphic functions

1975 ◽  
Vol 17 (4) ◽  
pp. 350-355 ◽  
Author(s):  
E. G. Barsukov ◽  
M. G. Khaplanov
Keyword(s):  
Meromorphic Functions ◽  
Space Of Meromorphic Functions

scholarly journals A Class of Nonlinear Integral Operators Preserving Double Subordinations

2008 ◽  
Vol 2008 ◽  
pp. 1-10 ◽  
Author(s):  
Oh Sang Kwon ◽  
Nak Eun Cho
Keyword(s):  
Unit Disk ◽  
Meromorphic Functions ◽  
Type Theorem ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
Sandwich Type ◽  
Space Of Meromorphic Functions ◽  
Nonlinear Integral Operators

The purpose of the present paper is to investigate some subordination- and superordination-preserving properties of certain integral operators defined on the space of meromorphic functions in the punctured open unit disk. The sandwich-type theorem for these integral operators is also considered.

scholarly journals Extreme problems in the space of meromorphic functions of finite order in the half plane. II

2020 ◽  
Vol 54 (2) ◽  
pp. 154-161
Author(s):  
K.G. Malyutin ◽  
A.A. Revenko
Keyword(s):  
Meromorphic Function ◽  
Half Plane ◽  
Fourier Coefficients ◽  
Meromorphic Functions ◽  
Sharp Estimate ◽  
Extremal Problems ◽  
Parseval Equality ◽  
Upper Limits ◽  
Upper Half Plane ◽  
Space Of Meromorphic Functions

The extremal problems in the space of meromorphic functions of order $\rho>0$ in upper half-plane are studed.The method for studying is based on the theory of Fourier coefficients of meromorphic functions. The concept of just meromorphic function of order $\rho>0$ in upper half-plane is introduced. Using Lemma on the P\'olya peaks and the Parseval equality, sharp estimate from below of the upper limits of relations Nevanlinna characteristics of meromorphic functions in the upper half plane are obtained.

scholarly journals Subordination and superordination results for the family of Jung-Kim-Srivastava integral operators

Filomat ◽  
2010 ◽  
Vol 24 (1) ◽  
pp. 69-85 ◽  
Author(s):  
Yong Sun ◽  
Wei-Ping Kuang ◽  
Zhi-Hong Liu
Keyword(s):  
Meromorphic Functions ◽  
Primary 30C45 ◽  
Integral Operators ◽  
Secondary 30C80 ◽  
Subject Classifications ◽  
The Family ◽  
Sandwich Type ◽  
Space Of Meromorphic Functions ◽  
Mathematics Subject Classifications

In this paper, we derive some subordination and superordination results associated with the family of Jung-Kim-Srivastava integral operators defined on the space of meromorphic functions. Several sandwich-type results are also obtained. 2010 Mathematics Subject Classifications. Primary 30C45; Secondary 30C80. .

scholarly journals The locally convex topology on the space of meromorphic functions

1995 ◽  
Vol 59 (3) ◽  
pp. 287-303 ◽  
Author(s):  
Karl-Goswin Grosse-Erdmann
Keyword(s):  
Meromorphic Functions ◽  
Main Tool ◽  
Positive Answer ◽  
Convex Topology ◽  
Projective Description ◽  
Space Of Meromorphic Functions ◽  
Locally Convex Topology ◽  
Locally Convex

AbstractWe give a positive answer to a question of Horst Tietz. A theorem of his that is related to the Mittag-Leffler theorem looks like a duality restult under some locally convex topology on the space of meromorphic functions. Tietz has posed the problem of finding such a topology. It is shown that a topology introduced by Holdguün in 1973 solves the problem. The main tool in the study of this topology is a projective description of it that is derived here. We also argue that Holdgrün's topology is the natural locally convex topology on the space of meromorphic functions.

On Joint Distribution of General Dirichlet Series

2003 ◽  
Vol 8 (2) ◽  
pp. 27-39 ◽  
Author(s):  
J. Genys ◽  
A. Laurinčikas
Keyword(s):  
Limit Theorem ◽  
Weak Convergence ◽  
Dirichlet Series ◽  
Joint Distribution ◽  
Meromorphic Functions ◽  
General Dirichlet Series ◽  
Joint Limit Theorem ◽  
Space Of Meromorphic Functions ◽  
Weaker Conditions ◽  
Joint Limit

In the paper a joint limit theorem in the sense of the weak convergence in the space of meromorphic functions for general Dirichlet series is proved under weaker conditions as in [1].

Further investigations on Fujimoto type strong uniqueness polynomials

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5203-5216
Author(s):  
Abhijit Banerjee ◽  
Bikash Chakraborty ◽  
Sanjay Mallick
Keyword(s):  
Meromorphic Functions ◽  
Future Research ◽  
Strong Uniqueness ◽  
Open Questions

Taking the question posed by the first author in [1] into background, we further exhaust-ably investigate existing Fujimoto type Strong Uniqueness Polynomial for Meromorphic functions (SUPM). We also introduce a new kind of SUPM named Restricted SUPM and exhibit some results which will give us a new direction to discuss the characteristics of a SUPM. Moreover, throughout the paper, we pose a number of open questions for future research.

On Fixed Points of Meromorphic Functions f(z) and f(z + c), Δcf(z)

2019 ◽  
Vol 39 (5) ◽  
pp. 1277-1289
Author(s):  
Shuangting Lan ◽  
Zongxuan Chen
Keyword(s):  
Fixed Points ◽  
Meromorphic Functions
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