SOME CHARACTERIZATIONS OF SEMI-BLOCH FUNCTIONS

Authors
AULASKARI R LAPPAN P
Citation
R. Aulaskari et P. Lappan, SOME CHARACTERIZATIONS OF SEMI-BLOCH FUNCTIONS, Proceedings of the American Mathematical Society, 119(4), 1993, pp. 1233-1238
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
119
Issue
4
Year of publication
1993
Pages
1233 - 1238
Database
ISI
SICI code
0002-9939(1993)119:4<1233:SCOSF>2.0.ZU;2-B
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(l ambdaf(z)) is a normal function. We give both an analytic and a geomet ric characterization of semi-Bloch functions, together with some examp les to show that semi-Bloch functions are not closed under either addi tion or multiplication.