On some classes of multivalent starlike functions

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On Some Classes of Multivalent Starlike Functions

Classes of multivalent functions analogous to certain classes of univalent starlike functions are defined and studied. Estimates on coefficients and distortion are made, using a variety of techniques. 1. Let St denote the class of all functions/(z) = z + . . . analytic, univalent and starlike in the unit disc U. Such functions satisfy the condition Re(z/'(z)//(z)) >0,zGU. The problem of definin...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1975

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1975-0369677-3