Some properties and results for certain subclasses of starlike and convex functions

Abstract

In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $; meromorphic and starlike functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.

Keywords

• Analytic functions
• Starlike functions
• Convex functions
• Coefficient estimates