Radius problem for Pascu type functions with fixed second coefficient. (2018)

• Record Type: Journal Article
• Authors: Varma, S. Sunil; Rosy, Thomas
• Is Part Of: International journal of computer aided engineering and technology. Volume 10:Number 5(2018)
• Page Start: 609
• Page End: 620
• Publication Date: 2018
• Subjects: fixed second coefficient -- subordination; Computer-aided engineering -- Periodicals; 620.00285
• Languages: English
• ISSNs: 1757-2657

Abstract

In this paper, we consider normalised analytic functions defined on the unit disk in the complex plane with fixed second coefficient in its Taylor series. By giving different bounds on coefficients of higher powers in the series, we find the radius of the largest disk inside the unit disk for which these functions belong to Pascu type alpha-convex class and a more generalised class.