Research on Geometric Mappings in Complex Systems Analysis
Autor: | Yanyan Cui, Chaojun Wang, Sifeng Zhu |
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Jazyk: | angličtina |
Rok vydání: | 2016 |
Předmět: | |
Zdroj: | Discrete Dynamics in Nature and Society, Vol 2016 (2016) |
Druh dokumentu: | article |
ISSN: | 1026-0226 1607-887X |
DOI: | 10.1155/2016/4732704 |
Popis: | We mainly discuss the properties of a new subclass of starlike functions, namely, almost starlike functions of complex order λ, in one and several complex variables. We get the growth and distortion results for almost starlike functions of complex order λ. By the properties of functions with positive real parts and considering the zero of order k, we obtain the coefficient estimates for almost starlike functions of complex order λ on D. We also discuss the invariance of almost starlike mappings of complex order λ on Reinhardt domains and on the unit ball B in complex Banach spaces. The conclusions contain and generalize some known results. |
Databáze: | Directory of Open Access Journals |
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