Univalent functions with half-integral coefficients

Naoki Hiranuma, Toshiyuki Sugawa

研究成果: Article査読

4 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)133-151
ページ数19
ジャーナルComputational Methods and Function Theory
13
1
DOI
出版ステータスPublished - 2013 5

ASJC Scopus subject areas

  • 分析
  • 計算理論と計算数学
  • 応用数学

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