Journal of the Ramanujan Mathematical Society

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Derivative Bounds for Univalent Functions


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1 Department of Mathematics, College of Charleston, Charleston, Sc 29424, United States
     

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For analytic and normalized univalent functions / in the unit disk, a lower bound on Re f '(z) is found. The result is sharp for small values of r.

Keywords

Analytic, Univalent 1980 Mathematics Subject Classification (1985 Revision), Primary 30C45:Secondary 30C50.
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  • Derivative Bounds for Univalent Functions

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Authors

Herb Silverman
Department of Mathematics, College of Charleston, Charleston, Sc 29424, United States

Abstract


For analytic and normalized univalent functions / in the unit disk, a lower bound on Re f '(z) is found. The result is sharp for small values of r.

Keywords


Analytic, Univalent 1980 Mathematics Subject Classification (1985 Revision), Primary 30C45:Secondary 30C50.