Some properties and characterizations of A-normal functions

Let M be the set of all functions meromorphic on D={z∈ℂ:|z|<1}. For a∈(0,1], a function f∈M is called a-normal function of bounded (vanishing) type or f∈Na(N0a), if supz∈D(1−|z|)af#(z)<∞ (lim|z|→1(1−|z|)af#(z)=0). In this paper we not only show the discontinuity of Na and N0a relative to conta...

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Bibliographic Details
Main Author: Jie Xiao
Format: Article
Language:English
Published: Hindawi Limited 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171297000689