Document Type : Research Paper

Authors

• Ayotunde Olajide Lasode ¹
• Aminat Olabisi Ajiboye ¹
• Rasheed Olawale Ayinla ²

¹ Department of Mathematics, University of Ilorin, P.M.B. 1515, Ilorin, Nigeria

² Department of Mathematics and Statistics, Kwara State University, P.M.B. 1530, Malete, Nigeria

Abstract

In this investigation, we studied a class of Bazilevic type close-to-star functions which is defined by a generalized differential operator. The new class generalizes many known and new subclasses of close-to-star functions. Some of the investigated properties are the coefficient bounds and the Fekete-Szego functional. Our results extend some known and new ones.

Keywords

• Analytic function
• univalent function
• starlike function
• close-to-star function of type $\alpha$
• Caratheodory function
• Opoola differential operator
• coefficient bound
• Fekete-Szeg"o functional