On Blaschke products of restricted growth

C. N. Linden

Vol. 38 (1971), No. 2, 501–513

DOI: 10.2140/pjm.1971.38.501

Abstract

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

is bounded for 0 < r < 1. The distributions of the zeros of Blaschke products in ℐ 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