两类双全纯映照子族在Roper-Suffridge延拓算子下的不变性

Abstract

Abstract:

In this paper, we generalize the Roper-Suffridge operator on Bergman-Hartogs domains. Applying the geometric properties and the growth theorems of spirallike mappings of type β and order α as well as almost starlike mappings of complex order λ, we obtain that the generalized Roper-Suffridge operators preserve spirallikeness of type β and order α as well as almost starlikeness of complex order λ on Bergman-Hartogs domains which lead to some special cases. The conclusions provide new approaches to construct spirallike mappings of type β and order α and almost starlike mappings of complex order λ in several complex variables.

Key words: Roper-Suffridge operators, Biholomorphic mappings, Bergman-Hartogs domains

CLC Number:

O174.56

Chaojun Wang,Yanyan Cui,Hao Liu. The Invariance of Two Subclasses of Biholomorphic Mappings Under the Roper-Suffridge Extension Operators[J].Acta mathematica scientia,Series A, 2019, 39(2): 209-219.

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References 18

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[2]	Wang Chaojun, Cui Yanyan, Liu Hao. Generalized Roper-Suffridge Extension Operators and Loewner Chains [J]. Acta mathematica scientia,Series A, 2016, 36(3): 433-440.
[3]	Wang Chaojun, Cui Yanyan, Liu Hao, Zhu Sifeng. New Subclasses of Spirallike Mappings [J]. Acta mathematica scientia,Series A, 2015, 35(4): 683-694.
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The Invariance of Two Subclasses of Biholomorphic Mappings Under the Roper-Suffridge Extension Operators

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