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
|Publication status||Published - 2017 Apr 25|
- Hypergeometric functions
- Spirallike function
- Strongly starlike function
ASJC Scopus subject areas