On Blaschke products of restricted growth

Type: Article

Publication Date: 1971-08-01

Citations: 30

DOI: https://doi.org/10.2140/pjm.1971.38.501

Abstract

Let ^ denote the class of Blaschke products Biz, {z n }) such that r Jo '(log\B(re iθ Az n })\) 2 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.

Locations

  • Pacific Journal of Mathematics - View - PDF
  • Project Euclid (Cornell University) - View - PDF

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