Articles

FURTHER APPLICATIONS OF POLAR COORDINATES IN Cn

  • YU Jia-Rong
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  • School of Mathematics and Statistics, Wuhan Univerity, Wuhan 430072, China

Received date: 2009-12-03

  Online published: 2011-01-20

Abstract

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

Cite this article

YU Jia-Rong . FURTHER APPLICATIONS OF POLAR COORDINATES IN Cn[J]. Acta mathematica scientia, Series B, 2011 , 31(1) : 1 -7 . DOI: 10.1016/S0252-9602(11)60201-4

References

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[3]  Shi J H. Foundaitons of the Theory of Functions of Several Complex Variables (in Chinese).  Beijing:  Higher Education Press, 1994

[4]  Tsuji M. Potential Theory in Modern Function Theory. Tokyo:  Maruzon Co Ltd, 1959

[5]  Valiron G.  Directions de Borel des Functions Meromorphes. Paris: Gauthier-Villars, 1938

[6]  Yu J R. Some properties of multiple Taylor series and random  Taylor series. Acta Mathematica Scientia, 2006, 26B(3):  568--574

[7]  Yu J R. Some remarks on holomorphic functions and Taylor series in Cn. Acta Mathematica Scientia, 2008, 28B(4):  721--726

Outlines

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