Acta mathematica scientia, Series B >
THE INVARIANCE OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α
Received date: 2015-01-24
Revised date: 2014-06-19
Online published: 2015-11-01
Supported by
This work is supported by NSF of China (11271359, U1204618), and Science and Technology Research Projects of Henan Provincial Education Department (14B110015, 14B110016).
The invariance of strong and almost spirallike mappings of type β and order α is discussed in this paper. From the maximum modulus principle of holomorphic functions, we obtain that the generalized Roper-Suffridge operators preserve strong and almost spirallikeness of type β and order α on the unit ball Bn in Cn and on bounded and complete Reinhardt domains. Therefore we obtain that the generalized Roper-Suffridge operators preserve strong spirallikeness of type β, strong and almost starlikeness of order α, strong starlikeness on the corresponding domains.Thus we can construct more subclasses of spirallike mappings in several complex variables.
Yanyan CUI , Chaojun WANG , Hao LIU . THE INVARIANCE OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α[J]. Acta mathematica scientia, Series B, 2015 , 35(6) : 1454 -1466 . DOI: 10.1016/S0252-9602(15)30066-7
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