scholarly journals A criterion for univalent meromorphic functions

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2269-2276
Author(s):  
Beiba Ould
Keyword(s):  
Differential Inequality ◽  
Meromorphic Functions ◽  
Simple Pole

Let D = {z ? C,|z| < 1} and A(p) be the set of meromorphic functions in D possessing only simple pole at the point p with p ? (0,1). The aim of this paper is to give a criterion by mean of conditions on the parameters ?,? ? C, ? > 0 and g ? A(p) for functions in the class denoted P ?,?,h(p; ?) of functions f ? A(p) satisfying a differential Inequality of the form |?(z/f(z))" + ?(z/g(z))"|? ??, z ? D to be univalent in the disc D, where ? = (1-p/1+p)2.

scholarly journals On the Tumura-Clunie Theorem and Its Application

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Gaixian Xue ◽  
Jinjin Huang
Keyword(s):  
Meromorphic Functions ◽  
Simple Pole

We cast aside the restriction of the simple pole in the Tumura-Clunie type theorems for meromorphic functions and obtain a better result which improves the earlier results of Y. D. Ren. Furthermore, as an application, we improve a theorem given by B. Y. Su.

scholarly journals Starlikeness of meromorphic functions involving certain differential inequalities

2021 ◽  
Vol 5 (1) ◽  
pp. 64-68
Author(s):  
Kuldeep Kaur Shergill ◽  
◽  
Sukhwinder Singh Billing ◽  
Keyword(s):  
Unit Disk ◽  
Differential Inequality ◽  
Meromorphic Functions ◽  
Differential Inequalities ◽  
Bazilevic Functions ◽  
New Criteria

In the present paper, we define a class of non-Bazilevic functions in punctured unit disk and study a differential inequality to obtain certain new criteria for starlikeness of meromorphic functions.

Weakly Close-to-Convex Meromorphic Functions

1989 ◽  
Vol 41 (4) ◽  
pp. 612-625
Author(s):  
Laurellen Landau-Treisner ◽  
Albert E. Livingston
Keyword(s):  
Convex Functions ◽  
Meromorphic Functions ◽  
Simple Pole

Classes of functions, meromorphic and univalent inΔ = {z:|z|< 1}with simple pole at z = p, 0 < p < 1, have been discussed in several places in the literature ([3], [6], [8], [10], [11], and [12]). The purpose of this paper is to discuss a class of Close-to-Convex functions with pole at p analogous to the class of Close-to-Convex functions with pole at zero studied by Libera and Robertson [9].

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

Meromorphic Functions with Slow Growth of Nevanlinna Characteristics and Rapid Growth of Spherical Derivative

2021 ◽  
Vol 252 (3) ◽  
pp. 420-427
Author(s):  
Sh. A. Makhmutov ◽  
M. S. Makhmutova
Keyword(s):  
Rapid Growth ◽  
Meromorphic Functions ◽  
Slow Growth ◽  
Spherical Derivative

Applications of the Jack’s lemma for the meromorphic functions

2021 ◽  
Author(s):  
Selin Aydinoğlu ◽  
Bülent Nafi Örnek
Keyword(s):  
Meromorphic Functions ◽  
Jack’S Lemma ◽  
Jack's Lemma

On the Distribution of Meromorphic Functions of Positive Hyper-Order

2021 ◽  
Vol 47 (1) ◽  
pp. 243-260
Author(s):  
P. Yang ◽  
S. Wang
Keyword(s):  
Meromorphic Functions ◽  
Hyper Order
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