Frontiers of Mathematics in China >
Sharp distortion theorems for a subclass of close-to-convex mappings
Received date: 26 Feb 2013
Accepted date: 30 Jul 2013
Published date: 01 Dec 2013
Copyright
We introduce the class of strongly close-to-convex mappings of order α in the unit ball of a complex Banach space, and then, we give the sharp distortion theorems for this class of mappings in the unit ball of a complex Hilbert space X or the unit polydisc in . As an application, a sharp growth theorem for strongly close-to-convex mappings of order α is obtained.
Qinghua XU , Taishun LIU , Xiaosong LIU . Sharp distortion theorems for a subclass of close-to-convex mappings[J]. Frontiers of Mathematics in China, 2013 , 8(6) : 1425 -1436 . DOI: 10.1007/s11464-013-0325-7
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