|本期目录/Table of Contents|

[1]吴银瓶,王根娣.Cassini度量的一些性质[J].浙江理工大学学报,2020,43-44(自科六):865-870.
　WU Yinping,WANG Gendi.Some properties of the Cassinian metric[J].Journal of Zhejiang Sci-Tech University,2020,43-44(自科六):865-870.
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Cassini度量的一些性质()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第43-44卷
期数:
2020年自科六期
页码:
865-870
栏目:
出版日期:
2020-11-27

文章信息/Info

Title:
Some properties of the Cassinian metric
文章编号:
1673-3851 (2020) 11-0865-06
作者:
吴银瓶; 王根娣
浙江理工大学理学院， 杭州 310018
Author(s):
WU Yinping;  WANG Gendi
School of Science, Zhejiang Sci-Tech University, Hangzhou 310018, China
关键词:
Cassini度量; 双曲度量; 界
分类号:
O174-5
文献标志码:
A
摘要:
在单位圆盘和上半平面中，运用所研究的Cassini度量的特殊公式来获得Cassini度量的上下界；并且证明了Cassini度量与双曲度量在单位球和上半空间的比较不等式。

参考文献/References:

［1］ Ibragimov Z. The Cassinian metric of a domain in  R n［J］. Uzbekskiǐ Matematicheskiǐ Zhurnal, 2009(1): 53-67.
［2］ Ibragimov Z, Mohapatra M R, Sahoo S K, et al. Geometry of the Cassinian metric and its inner metric［J］. Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40(1): 361-372.
［3］ Klén R, Mohapatra M R, Sahoo S K. Geometric properties of the Cassinian metric［J］. Mathematische Nachrichten, 2017, 290(10): 1531-1543.
［4］ Hariri P, Klén R, Vuorinen M, et al. Some remarks on the Cassinian metric［J］. Publicationes Mathematicae Debrecen, 2017, 90(3/4): 269-285.
［5］ Mohapatra M R, Sahoo S K. A Gromov hyperbolic metric vs the hyperbolic and other related metrics［J］. Computational Methods and Function Theory, 2018, 18(3): 473-493.
［6］ Xu X X, Wang G D. Sharp inequalities for the scale invariant Cassinian metric［J］. Journal of Zhejiang SciTech University, 2019, 41(6): 829-834.
［7］ Beardon A F. The Geometry of Discrete Groups［M］. New York: Springer, 1983.
［8］ Ibragimov Z. A scaleinvariant Cassinian metric［J］. The Journal of Analysis, 2016, 24(1): 111-129.
［9］ Wang G D, Xu X X, Vuorinen M. Remarks on the scale invariant Cassinian metric. (2019-03-21)［2020-06-27］. https://arxiv.og/abs/19030099.
［10］ Vuorinen M. Conformal Geometry and Quasiregular Mappings［M］. Berlin: Springer, 1988.

备注/Memo

备注/Memo:
收稿日期：2020-06-27
Published Online：2020-09-03
基金项目：This research is supported by National Natural Science Foundation of China (NNSFC) (Grant No.11771400 and No.11601485) and Science Foundation of Zhejiang Sci-Tech University (ZSTU) (Grant No.16062023-Y)
作者简介：WU Yinping(1995-), female, Yancheng, Jiangsu, postgraduate, research interests: complex analysis
通信作者：WANG Gendi, E-mail:gendi.wang@zstu.edu.cn
更新日期/Last Update: 2020-11-05