Geometric Properties of the Shifted Hypergeometric Functions

Toshiyuki Sugawa, Li Mei Wang

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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, λ-spirallikeness 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.

Original languageEnglish
Pages (from-to)1879-1893
Number of pages15
JournalComplex Analysis and Operator Theory
Volume11
Issue number8
DOIs
Publication statusPublished - 2017 Dec 1

Keywords

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

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

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