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On subordination for certain subclass of analytic functions

DOI: 10.1155/s016117129700029x

Keywords: analytic , starlike , convex univalent , subordination.

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Abstract:

In the present paper the class Pn[ ±,M] consisting of functions f(z)=z+ ¢ ‘k=n+1 ¢ akzz(n ¢ ‰ ¥1), which are analytic in the unit disc E={z:|z|<1} and satisfy the condition |f ¢ € 2(z)+ ±zf ¢ € 3(z) ¢ ’1| Keywords analytic --- starlike --- convex univalent --- subordination.

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