J. Austral. Math. Soc.
72 (2002), 131136  
Growth of functions in cercles de remplissage
 
 
Abstract  
Suppose that f
is meromorphic in the plane, and that there is a
sequence
and a sequence of positive numbers
, such that
. It is
shown that if f
is analytic and nonzero in the closed discs
,
n = 1, 2, 3, . . . ,
then, given any positive integer K,
there are arbitrarily large values of n
and there is a point z
in such that
. Examples are given to show that the hypotheses
cannot be relaxed.
 
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