The Alexander transform of a spirallike function

Yong Chan Kim, Toshiyuki Sugawa

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

We show that the Alexander transform of a β-spirallike function is univalent when cos β ≤ 1 / 2, which settles the problem posed by Robertson. We also solved a problem considered by Y.J. Kim and Merkes.

Original languageEnglish
Pages (from-to)608-611
Number of pages4
JournalJournal of Mathematical Analysis and Applications
Volume325
Issue number1
DOIs
Publication statusPublished - 2007 Jan 1

Keywords

  • Integral transform
  • Spirallike function
  • Univalent function

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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