Growth Theorem and Distortion Theorem for a Subclass of Parabolic Starlike Mappings

ZHANG Xiao-fei, YAN Chun-yan

doi:10.13371/j.cnki.chin.q.j.m.2016.02.012

Chinese Quarterly Journal of Mathematics >

2016 , Vol. 31 >Issue 2: 211 - 220

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.02.012

Growth Theorem and Distortion Theorem for a Subclass of Parabolic Starlike Mappings

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College of Mathematics and Information Science, Pingdingshan University. Department of Information Engineering, Xuchang Vocational Technical College

ZHANG Xiao-fei(1982-), male, native of Xuchang, Henan, a lecturer of Pingdingshan University, Ph.D., engages in function theory of several complex variables.

Received date: 2015-09-03

Online published: 2020-11-09

Supported by

Supported by the Doctoral Foundation of Pingdingshan University(PXY-BSQD-2015005)； Supported by the Natural Science Foundation of Zhejiang Province(Y14A010047)； Supported by the the Key Scientific Research Projects in Universities of Henan Province(16B110010)； Supported by the Foster Foundation of Pingdingshan University(PXY-PYJJ2016007)；

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Abstract

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.

Key words： parabolic starlike mappings; growth theorem; distortion theorem

Cite this article

ZHANG Xiao-fei, YAN Chun-yan . Growth Theorem and Distortion Theorem for a Subclass of Parabolic Starlike Mappings[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(2) : 211 -220 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.02.012

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