|
|||||
|
|
On the order of starlikeness of the shifted Gauss hypergeometric function |
|
| Authors: | Reinhold Küstner |
| Institution: | Universität Kassel, FB 17 Mathematik/Informatik, AG Computational Mathematics, Heinrich-Plett-Straße 40, 34132 Kassel, Germany |
| Abstract: | We determine for several ranges of real parameters the order of starlikeness of the shifted Gauss hypergeometric function and we give some consequences of our results, in particular some mapping properties of the Carlson-Shaffer convolution operator. |
| Keywords: | Gauss hypergeometric function Univalence Order of starlikeness Order of convexity Zerofreeness in the unit disk Carlson-Shaffer convolution operator |
| 本文献已被 ScienceDirect 等数据库收录！ | |