Open AccessOn Differential Subordination and Superordination for Univalent Function Involving New Operator
Author(s) -
Mustafa I. Hameed,
Buthy. Shihab
Publication year - 2022
Publication title -
iraqi journal for computer science and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2958-0544
pISSN - 2788-7421
DOI - 10.52866/ijcsm.2022.01.01.003
Subject(s) - subordination (linguistics) , mathematics , convolution (computer science) , differential operator , unit disk , univalent function , differential (mechanical device) , analytic function , hadamard product , operator (biology) , hypergeometric function , third order , mathematical analysis , pure mathematics , order (exchange) , function (biology) , hadamard transform , computer science , physics , philosophy , repressor , linguistics , chemistry , theology , biochemistry , machine learning , artificial neural network , transcription factor , thermodynamics , finance , economics , gene , biology , evolutionary biology
The goal of this paper is to investigate some of the features of differential subordination of analytic univalent functions in an open unit disc. In addition, it has shed light on geometric features such as coefficient inequality, Hadamard product qualities, and the Komatu integral operator. Some intriguing results for third-order differential subordination and superordination of analytic univalent functions have been installed. Then, using the convolution of two linear operators, certain results of third order differential subordination involving linear operators were reported. As a result, we use features of the Komatu integral operator to analyze and study third-order subordinations and superordinations in relation to the convolution. Finally, several results for third order differential subordination in the open unit disk using generalized hypergeometric function have been addressed using the convolution operator.