Abstract
The goal of this paper is to explore some of the features of differential subordination of analyticunivalent functions in an open unit disc. It also seeks to shed light on geometric features such as coefficient inequality,Hadamard product qualities, and the Komatu integral operator. Some intriguing results for third-order differentialsubordination and superordination of analytic univalent functions were obtained. Then, using the convolution of twolinear operators, certain results of third order differential subordination involving linear operators were reported. Weuse features of the Komatu integral operator to analyze and study third-order subordinations and superordinationsin relation to the convolution. Finally, several results for third order differential subordination in the open unit diskusing generalized hypergeometric function were obtained by using the convolution operator
Recommended Citation
Hameed, Mustafa I.; Shihab, Buthyna Najad; and Bello, Samaila
(2022)
"On Differential Subordination and Superordination for UnivalentFunction Involving New Operator,"
Iraqi Journal for Computer Science and Mathematics: Vol. 3:
Iss.
1, Article 3.
DOI: https://doi.org/10.52866/ijcsm.2022.01.01.003
Available at:
https://ijcsm.researchcommons.org/ijcsm/vol3/iss1/3
