A note on Bazilevič functions

S. A. Halim and D. K. Thomas

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-3

Abstract:

For α > 0 , let B 1 ( α ) be the class of normalized analytic functions defined in the open unit disc D satisfying Re ( f ( z ) / z ) α − 1 f ′ ( z ) > 0 for z ∈ D . The sharp lower bound for Re ( f ( z ) / z ) α is obtained and the result is generalized to some iterated integral operators.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:604373

DOI: 10.1155/S0161171291001126

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