A class of bounded starlike functions
1994 ◽
Vol 17
(2)
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pp. 249-252
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We consider functionsf(z)=z+…that are analytic in the unit disk and satisfy there the inequalityRe(f′(z)+zf″(z))>α,α<1. We find extreme points and then determine sharp lower bounds onRef′(z)andRe(f(z)/z). Sharp results for the sequence of partial sums are also found.
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1997 ◽
Vol 10
(2)
◽
pp. 197-202
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2001 ◽
Vol 25
(12)
◽
pp. 771-775
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2000 ◽
Vol 24
(9)
◽
pp. 577-581
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