Abstract
The concept of differential subordination was introduced in [4] by S.S. Miller and P.T. Mocanu and the concept of strong differential subordination was introduced in [1], [2], [3] by J.A. Antonino and S. Romaguera. In [7] we have studied the strong differential subordinations in the general case and in [8] we have studied the first order linear strong differential subordinations. In [6] we have studied the second order linear strong differential subordinations. In this paper we study the second order non-linear strong differential subordinations. Our results may be applied to deduce sufficient conditions for univalence in the unit disc, such as starlikeness, convexity, alpha-convexity, close-to-convexity respectively.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Bulletin of the Belgian Mathematical Society - Simon Stevin
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
