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 language | English |
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Pages (from-to) | 1879-1893 |
Number of pages | 15 |
Journal | Complex Analysis and Operator Theory |
Volume | 11 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2017 Dec 1 |
Externally published | Yes |
Keywords
- Hypergeometric functions
- Spirallike function
- Strongly starlike function
- Subordination
ASJC Scopus subject areas
- Computational Mathematics
- Computational Theory and Mathematics
- Applied Mathematics