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Some Characterizations of Semi-Bloch Functions

Rauno Aulaskari and Peter Lappan
Proceedings of the American Mathematical Society
Vol. 119, No. 4 (Dec., 1993), pp. 1233-1238
DOI: 10.2307/2159986
Stable URL: http://www.jstor.org/stable/2159986
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Some Characterizations of Semi-Bloch Functions
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Abstract

A function f analytic in the unit disk is called a semi-Bloch function if, for each complex number λ, the function gλ(z) = exp(λ 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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