Univalent functions with half-integral coefficients

Naoki Hiranuma, Toshiyuki Sugawa

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

B. Friedman discovered in his 1946 paper that the set of analytic univalent functions on the unit disk in the complex plane with integralTaylor coefficients consists of nine functions. In the present paper, we prove that the similar set obtained by replacing "integral" by "half-integral" consists of another 12 functions in addition to the nine. We also observe geometric properties of the 12 functions.

Original languageEnglish
Pages (from-to)133-151
Number of pages19
JournalComputational Methods and Function Theory
Volume13
Issue number1
DOIs
Publication statusPublished - 2013 May 1

Keywords

  • Area theorem
  • Grunsky inequality

ASJC Scopus subject areas

  • Analysis
  • Computational Theory and Mathematics
  • Applied Mathematics

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