scholarly journals Applications of the differential operator to a class of meromorphic univalent functions

2016 ◽  
Vol 24 (2) ◽  
pp. 181-186
Author(s):  
Khalida Inayat Noor ◽  
Qazi Zahoor Ahmad ◽  
Janusz Sokół
Keyword(s):  
Differential Operator ◽  
Univalent Functions ◽  
Meromorphic Univalent Functions

scholarly journals Some Geometric Properties for a Certain Class of Meromorphic Univalent Functions by Differential Operator

2021 ◽  
pp. 2667-2675
Author(s):  
Mohammed Hadi Lafta
Keyword(s):  
Differential Operator ◽  
Hadamard Product ◽  
Convex Combination ◽  
Univalent Functions ◽  
Integral Operators ◽  
Coefficient Estimates ◽  
Growth Theorem ◽  
Closure Theorem ◽  
Major Target ◽  
Meromorphic Univalent Functions

The major target of this paper is to study a confirmed class of meromorphic univalent functions . We procure several results, such as those related to coefficient estimates, distortion and growth theorem, radii of starlikeness, and convexity for this class, n additionto hadamard product, convex combination, closure theorem, integral operators, and  neighborhoods.

On certain subclasses of meromorphic univalent functions associated with a differential operator

2017 ◽  
Vol 24 (4) ◽  
Author(s):  
Qazi Zahoor Ahmad ◽  
Khalida Inayat Noor ◽  
Janusz Sokół
Keyword(s):  
Differential Operator ◽  
Unit Disc ◽  
Univalent Functions ◽  
Open Unit ◽  
Open Unit Disc ◽  
Coefficient Inequalities ◽  
Inclusion Results ◽  
Meromorphic Univalent Functions

AbstractIn this paper, we define new classes of meromorphic univalent functions defined in the punctured open unit disc by using a differential operator. Some inclusion results and coefficient inequalities for these classes are studied.

Coefficient inequalities for new subclasses of bi-univalent functions defined by using the function fδ

2021 ◽  
Author(s):  
Fatma Sağsöz ◽  
Halit Orhan
Keyword(s):  
Differential Operator ◽  
Univalent Functions ◽  
Function Classes ◽  
Coefficient Inequalities

In this investigation, we introduce and study two new subclasses of bi-univalent functions defined by using the function [Formula: see text] and Salagean differential operator. Furthermore, we find estimates on the coefficients [Formula: see text] and [Formula: see text] for these function classes.

Certain inequalities of meromorphic univalent functions associated with the Mittag-Leffler function

2019 ◽  
Vol 25 (2) ◽  
pp. 173-178
Author(s):  
Mohamed K. Aouf ◽  
Adela O. Mostafa
Keyword(s):  
Univalent Functions ◽  
Differential Inequalities ◽  
Meromorphic Univalent Functions

Abstract The purpose of this paper is to prove differential inequalities for meromorphic univalent functions by using a new operator associated with the Mittag-Leffler function.

Generalizations of Hadamard products of certain meromorphic univalent functions with positive coefficients

2008 ◽  
Vol 41 (2) ◽  
Author(s):  
M. K. Aouf ◽  
H. Silverman
Keyword(s):  
Univalent Functions ◽  
Hadamard Products ◽  
Positive Coefficients ◽  
Meromorphic Univalent Functions

AbstractThe authors establish certain results concerning the generalized Hadamard products of certain meromorphic univalent functions with positive coefficients analagous to the results due to Choi et al. (J. Math. Anal. Appl. 199(1996), 495–501).

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