Title: On p-Valent Strongly Starlike and Strongly Convex Functions Associated with Generalized Linear Operator
Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814
Article ID: MTJPAM-D-20-00023; Volume 3 / Issue 3 / Year 2021 (Special Issue), Pages 104-111
Document Type: Research Paper
Author(s): Mohamed Kamal Aouf a , Sheza M. El-Deeb
b
aDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
bDepartment of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt. Current Address: Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, Buraidah 51452, Saudi Arabia
Received: 11 August 2020, Accepted: 1 December 2020, Published: 25 April 2021.
Corresponding Author: Sheza M. El-Deeb (Email address: shezaeldeeb@yahoo.com)
Full Text: PDF
Abstract
In this paper, we define some new subclasses and
of strongly starlike and
strongly convex functions of order
and type
by using the
generalized linear operator
. We also derive some interesting properties, such as inclusion relationships of these classes and the integral operator
.
Keywords: Analytic functions, p-valent, Strongly starlike, Strongly convex
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