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On the Growth of Functions with Hadamard Gaps

✍ Scribed by Gnuschke, D.; Pommerenke, Ch.

Book ID: 120095445
Publisher: Oxford University Press
Year: 1984
Tongue: English
Weight: 169 KB
Volume: s2-30
Category: Article
ISSN: 0024-6107
DOI: 10.1112/jlms/s2-30.3.441

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A function q ( z ) is said to be convex if it is a univalent conformal mapping of the unit disk 1x1 -= 1, hereafter called U , onto a convex domain. The HADAMARD product or convolution of two power series f ( 2 ) : = anzn and g(x) : = b,znis defined as the power series (f\*g) ( x ) : = anb,xn. The f