Vol. 120, No. 1, 1985

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A coefficient inequality for functions of positive real part with an application to multivalent functions

Albert Edward Livingston

Vol. 120 (1985), No. 1, 139–151
Abstract

We obtain sharp bounds on the magnitude of certain determinants, whose entries are the coefficients of a function of positive real part in the unit disk. These inequalities are used to solve a coefficient problem for a certain subclass of multivalent functions.

Mathematical Subject Classification 2000
Primary: 30C50
Secondary: 30D50
Milestones
Received: 2 March 1984
Revised: 7 May 1984
Published: 1 November 1985
Authors
Albert Edward Livingston