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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 12, Pages 855-857
doi:10.1155/S0161171200001824

On a class of univalent functions

Vikramaditya Singh

3A/95 Azad Nagar, Kanpur 208002, India

Abstract

We consider the class of univalent functions f(z)=z+a3z3+a4z4+⋯ analytic in the unit disc and satisfying |(z2f′(z)/f2(z))−1|<1, and show that such functions are starlike if they satisfy |(z2f′(z)/f2(z))−1|<(1/2).