Growth Theorem and Distortion Theorem for a Sub class of Parab olic Starlike Mappings  

Growth Theorem and Distortion Theorem for a Sub class of Parab olic Starlike Mappings

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作  者:ZHANG Xiao-fei YAN Chun-yan 

机构地区:[1]College of Mathematics and Information Science, Pingdingshan University, Pingdingshan 467000, China [2]Department of Information Engineering, Xuchang Vocational Technical College, Xuchang 461000, China

出  处:《Chinese Quarterly Journal of Mathematics》2016年第2期211-220,共10页数学季刊(英文版)

基  金:Supported by the Doctoral Foundation of Pingdingshan University(PXY-BSQD-20150 05); Supported by the Natural Science Foundation of Zhejiang Province(Y14A010047); Supported by the the Key Scientific Research Projects in Universities of Henan Province(16Bl10010); Supported by the Foster Foundation of Pingdingshan University(PXY-PYJJ2016007)

摘  要:In this article, we firstly introduce a subclass of parabolic starlike mappings writen as PS(β; ρ).Secondly,the growth theorem for PS(β; ρ) on the unit ball in complex Banach space is obtained. Finaly, as the application of the growth theorem of PS(β; ρ), the distortion theorem along a unit direction is also established.In this article, we firstly introduce a subclass of parabolic starlike mappings writen as P S (β;ρ). Secondly, the growth theorem for P S (β;ρ) on the unit ball in complex Banach space is obtained. Finaly, as the application of the growth theorem of P S (β;ρ), the distortion theorem along a unit direction is also established.

关 键 词:parabolic starlike mappings growth theorem distortion theorem 

分 类 号:O174.56[理学—数学]

 

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