A class of bounded starlike functions

Herb Silverman

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-4

Abstract:

We consider functions f ( z ) = z + … that are analytic in the unit disk and satisfy there the inequality Re ( f ′ ( z ) + z f ″ ( z ) ) > α , α < 1 . We find extreme points and then determine sharp lower bounds on Re f ′ ( z ) and Re ( f ( z ) / z ) . Sharp results for the sequence of partial sums are also found.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:141459

DOI: 10.1155/S0161171294000360

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