Vol. 38, No. 2, 1971

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On Blaschke products of restricted growth

C. N. Linden

Vol. 38 (1971), No. 2, 501–513
Abstract

Let denote the class of Blaschke products B(z,{zn}) such that

∫ 2π        i𝜃       2
0  (log|B(re ,{zn})|) d𝜃

is bounded for 0 < r < 1. The distributions of the zeros of Blaschke products in are examined, and extensions are made to earlier results of MacLane and Rubel.

Mathematical Subject Classification
Primary: 30A76
Milestones
Received: 6 August 1970
Published: 1 August 1971
Authors
C. N. Linden