A Sufficient Condition for Starlikeness

Ramesha, C and Kumar, Sampath and Padmanabhan, K S (1995) A Sufficient Condition for Starlikeness. Chinese journal of Mathematics, 23 (2). pp. 167-171.

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Abstract

In the present paper we derive a condition which is sufficient for function to be starlike. Let f(z) be an analytic function normalized by the conditions f(0) = f'(0)-1=0 and Re{z^2 f(z)/(f(z))+(zf(z))/(f(z))}>0,for  ≥0. Then f(z) is starlike. If  =1, then f(z) is strongly starlike of order 1/2.

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