SOME RADIUS PROBLEMS FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS WITH FIXED SECOND COEFFICIENTS

Khalida Inayat Noor, Muhammad Arif

Abstract


We shall study the properties of mapping

F : F(z) = (1 - \alpha)f(z) + \alpha z f'(z), (0 < \alpha <= 1)

when f belongs to certain classes of analytic functions with fixed second coeffcients, and results proved in this paper are sharp.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

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