Study of simply connected convex domain and its geometric properties (II). Issue 1 (11th December 2019)

• Record Type: Journal Article
• Authors: Faisal, M. I.
• Is Part Of: Journal of Taibah University for science. Volume 13:Issue 1(2019)
• Page Start: 597
• Page End: 603
• Publication Date: 2019-12-11
• Subjects: Analytic functions -- differential operator -- meromorphic convex functions -- open unit disk; Primary 30C45; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2019.1611368
• Languages: English
• ISSNs: 1658-3655

Abstract

Abstract : In this paper, making use of a new integral operator defined in the open unit disk we introduce and study a new class of simply connected convex domain of analytic and univalent functions. We derive some inclusion results and its geometric properties. Moreover, we discuss analytic criteria for a member of the simply connected convex domain to be a member of the class of functions with positive real part greater than μ .