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Sufficient Conditions for Starlikeness and Strong-starlikeness of a Given Order
Complex Variables, Theory and Application: An International Journal, 2003We find sharp upper bounds for $ \vert \,f^{\prime \prime }(z)/f^{\prime }(z) \vert $ such that the function f be starlike or strongly-starlike of a given order, where f is holomorphic in the unit disc U , with $ f(0)=f^{\prime }(0)-1=0 $ . These bounds are obtained by using the differential subordination technique. As a useful ingredient we obtain the
Petru T. Mocanu+2 more
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On the radius of alpha-starlikeness for starlike functions of order beta
1983N. N. Pascu, V. Podaru
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