On a coefficient body for concave functions

Rintaro Ohno, Hiroshi Yanagihara

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

For p ∈ (0, 1), let Cop be the class of meromorphic and univalent functions f in the unit disk D with a simplepole at p such that ℂ\ f (D) is convex. These so-called concave functions can be expanded as. The present article shows a representation formula for functions of class Cop, using functions of positive real part, and gives an explicit description of the coefficient body {a1(f), c-1(f), c1(f)}.

Original languageEnglish
Pages (from-to)237-251
Number of pages15
JournalComputational Methods and Function Theory
Volume13
Issue number2
DOIs
Publication statusPublished - 2013 Aug 22

Keywords

  • Concave functions
  • Univalent functions

ASJC Scopus subject areas

  • Analysis
  • Computational Theory and Mathematics
  • Applied Mathematics

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