螺形映照的新子族

Abstract

Abstract:

In this paper, we introduce some new subclasses of spirallike functions, namely elliptical starlike functions of order ρ, elliptical and spirallike functions of type β and order ρ. We extend the new definitions and obtain that the generalized Roper-Suffridge operators preserve the properties of the mappings defined in this paper on different domains in different spaces, thus many elliptical and spirallike mappings of type β and order ρ can be constructed in several complex variables. The conclusions enrich the research of subclasses of spirallike mappings and generalized Roper-Suffridge operators.

Key words: Roper-Suffridge operators, Starlike mappings, Spirallike mappings, Reinhardt domains

CLC Number:

O174.56

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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References

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New Subclasses of Spirallike Mappings

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