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A gap series with growth conditions and its applications. (English) Zbl 0633.30002

A particular Hadamard gap series is constructed in the unit disk D and used in developing some examples which improve those given in earlier papers [Proc. Am. Math. Soc. 69, 85-86 (1978; Zbl 0382.30011) and Analysis 4, 111-123 (1984; Zbl 0556.53004)]. For example, a univalent analytic function in D which is nowhere semiconformal on the boundary of D is obtained.
Reviewer: L.R.Sons

MSC:

30B10 Power series (including lacunary series) in one complex variable
30C99 Geometric function theory
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