Skip navigation
Please use this identifier to cite or link to this item:
Title: Certain Geometric Properties of Starlike Functions Related to a Limacon Domain
Authors: Wani L.A.
Swaminathan, Anbhu
Published in: Mathematics in Engineering, Science and Aerospace
Abstract: Let STlimbe the family of starlike functions associated with (Formula presented), the function which sends the open unit disc (Formula presented) univalently onto a region bounded by the dimpled limacon curve (Formula presented) In this paper, we study certain geometrical properties along with some inclusion results related to the function class STlim. Further, given some analytic function P(z) having nice geometrical properties, we obtain sharp estimates on the real β such that the first-order differential subordination (Formula presented) implies (Formula presented), where p is an analytic function satisfying p(0) = 1, and the symbol (Formula presented) denotes subordination. As a consequence, we establish several sufficient conditions for the family ST lim. © CSP - Cambridge, UK; I&S - Florida, USA, 2021
Citation: Mathematics in Engineering, Science and Aerospace, 12(2): 323-342
Issue Date: 2021
Publisher: Cambridge Scientific Publishers
Keywords: Cardioid
differential subordination
Lemniscate of Bernoulli
Starlike functions
ISSN: 20413165
Author Scopus IDs: 57216880443
Author Affiliations: Wani, L.A., Department of Mathematics, Indian Institute of Technology, Roorkee, Uttarakhand 247667, India
Swaminathan, A., Department of Mathematics, Indian Institute of Technology, Roorkee, Uttarakhand 247667, India
Funding Details: This work of the authors were supported by the Project No. CRG/2019/000200/MS of Science and Engineering Research Board, Department of Science and Technology, New Delhi, India.
Corresponding Author: Wani, L.A.; Department of Mathematics, India; email:
Appears in Collections:Journal Publications [MA]

Files in This Item:
There are no files associated with this item.
Show full item record

Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.