On a Subclass of Analytic Functions That Are Starlike with Respect to a Boundary Point Involving Exponential Function. (11th January 2022)

• Record Type: Journal Article
• Authors: Lecko, Adam; Murugusundaramoorthy, Gangadharan; Sivasubramanian, Srikandan
• Other Names: Raza Mohsan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-01-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/4812501
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In the present exploration, the authors define and inspect a new class of functions that are regular in the unit disc D ≔ ς ∈ ℂ : ς < 1, by using an adapted version of the interesting analytic formula offered by Robertson (unexploited) for starlike functions with respect to a boundary point by subordinating to an exponential function. Examples of some new subclasses are presented. Initial coefficient estimates are specified, and the familiar Fekete-Szegö inequality is obtained. Differential subordinations concerning these newly demarcated subclasses are also established.