First Order Differential Equation Sudordination Associated With Cassini Curve

Abstract

We denote p(z) as analytic functions defined on the open unit disk with p(0) = 1. In this paper, we determined the condition for β so that the results hold for the expressions 1+βzp ′ (z), 1+βzp ′ (z)/p(z) and 1+βzp ′ (z)/p 2 (z) are subordinate to √ 1 + cz.