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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Some characterizations of semi-Bloch functions

Authors: Rauno Aulaskari and Peter Lappan
Journal: Proc. Amer. Math. Soc. 119 (1993), 1233-1238
MSC: Primary 30D45
MathSciNet review: 1165046
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Abstract: A function $ f$ analytic in the unit disk is called a semi-Bloch function if, for each complex number $ \lambda $, the function $ {g_\lambda }(z) = \exp (\lambda f(z))$ is a normal function. We give both an analytic and a geometric characterization of semi-Bloch functions, together with some examples to show that semi-Bloch functions are not closed under either addition or multiplication.

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PII: S 0002-9939(1993)1165046-3
Article copyright: © Copyright 1993 American Mathematical Society