Radius and Differential Subordination Results for Starlikeness Associated with Limaçon Class. (31st August 2022)

• Record Type: Journal Article
• Authors: Saliu, Afis; Jabeen, Kanwal; Al-shbeil, Isra; Oladejo, Semiu Oladipupo; Cătaş, Adriana
• Other Names: Ho Kwok-Pun Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-08-31
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/8264693
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this study we investigate the sharp radius of starlikeness of subclasses of Ma and Minda class for the ratio of analytic functions which are related to limaçon functions. This survey is connected also to the first-order differential subordinations. In this context, we get the condition on β for which certain differential subordinations associated with limaçon functions imply Ma and Minda starlike functions. Simple corollaries are provided for certain examples of our results. Finally, we present several geometries related to our study.