Geometric properties of the shifted hypergeometric functions

Toshiyuki Sugawa, Li Mei Wang

Research output: Contribution to journalArticlepeer-review

Abstract

We will provide sufficient conditions for the shifted hypergeometric function z2F1(a, b; c; z) to be a member of a specific subclass of starlike functions in terms of the complex parameters a, b and c. For example, we study starlikeness of order α, λspirallikeness of order α and strong starlikeness of order α. In particular, those properties lead to univalence of the shifted hypergeometric functions on the unit disk.

MSC Codes Primary 30C45, Secondary 33C05

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Apr 25

Keywords

  • Hypergeometric functions
  • Spirallike function
  • Strongly starlike function
  • Subordination

ASJC Scopus subject areas

  • General

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