|
|||||
|
|
Closure properties of operators on the Ma-Minda type starlike and convex functions |
|
| Authors: | Abeer O Badghaish V Ravichandran |
| Institution: | a Mathematics Department, King Abdul Aziz University, Jeddah, Saudi Arabia b School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia c Department of Mathematics, University of Delhi, Delhi-110007, India |
| Abstract: | A normalized univalent function f is called Ma-Minda starlike or convex if zf′(z)/f(z)?φ(z) or 1+zf″(z)/f′(z)?φ(z) where φ is a convex univalent function with φ(0)=1. The class of Ma-Minda convex functions is shown to be closed under certain operators that are generalizations of previously studied operators. Analogous inclusion results are also obtained for subclasses of starlike and close-to-convex functions. Connections with various earlier works are made. |
| Keywords: | Analytic functions Differential subordination Ma-Minda type starlike and convex functions Integral operators |
| 本文献已被 ScienceDirect 等数据库收录！ | |