FURTHER APPLICATIONS OF POLAR COORDINATES IN Cn

doi:10.1016/S0252-9602(11)60201-4

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 1-7.doi: 10.1016/S0252-9602(11)60201-4

FURTHER APPLICATIONS OF POLAR COORDINATES IN Cⁿ

余家荣

School of Mathematics and Statistics, Wuhan Univerity, Wuhan 430072, China

收稿日期:2009-12-03 出版日期:2011-01-20 发布日期:2011-01-20

FURTHER APPLICATIONS OF POLAR COORDINATES IN Cⁿ

YU Jia-Rong

School of Mathematics and Statistics, Wuhan Univerity, Wuhan 430072, China

Received:2009-12-03 Online:2011-01-20 Published:2011-01-20

摘要/Abstract

摘要：

Simplify the proof on the domain of convergence of multiple power series and consider the case where some of z₁, …, z_n are contained only in a finite number of terms of the series. Obtain some results on holomorphic functions in Cⁿ.

关键词: Polar coordinates in Cⁿ, multiple power series and holomorphic functions in Cⁿ

Abstract:

Key words: Polar coordinates in Cⁿ, multiple power series and holomorphic functions in Cⁿ

中图分类号:

32A05

余家荣. FURTHER APPLICATIONS OF POLAR COORDINATES IN Cⁿ[J]. 数学物理学报(英文版), 2011, 31(1): 1-7.

YU Jia-Rong. FURTHER APPLICATIONS OF POLAR COORDINATES IN Cⁿ[J]. Acta mathematica scientia,Series B, 2011, 31(1): 1-7.

[1]	梁美丽, 高宗升. CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES[J]. 数学物理学报(英文版), 2010, 30(5): 1640-1648.
[2]	杨燕, 钱涛. ON SETS OF ZEROES OF CLIFFORD ALGEBRA-VALUED POLYNOMIALS[J]. 数学物理学报(英文版), 2010, 30(3): 1004-1012.
[3]	余家荣. SOME REMARKS ON HOLOMORPHIC FUNCTIONS AND TAYLOR SERIES IN Cⁿ[J]. 数学物理学报(英文版), 2008, 28(4): 721-726.
[4]	余家荣. SOME PROPERTIES OF MULTIPLE TAYLOR SERIES AND RANDOM TAYLOR SERIES[J]. 数学物理学报(英文版), 2006, 26(3): 568-576.

FURTHER APPLICATIONS OF POLAR COORDINATES IN Cⁿ

FURTHER APPLICATIONS OF POLAR COORDINATES IN Cⁿ

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