多复变全纯函数族正规准则

张莎莎, 涂振汉

数学学报 ›› 2010, Vol. 53 ›› Issue (6) : 1045-1050.

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PDF(350 KB)
数学学报 ›› 2010, Vol. 53 ›› Issue (6) : 1045-1050. DOI: 10.12386/A2010sxxb0117
论文

多复变全纯函数族正规准则

    张莎莎1, 涂振汉2
作者信息 +

Normal Families of Holomorphic Mappings of Several Complex Variables Into P1?

    Sha Sha ZHANG1, Zhen Han TU2
Author information +
文章历史 +

摘要

在单复变中, 可以由Zalcman--Pang引理证明与微分多项式有关的正规准则.本文通过推广单复变的Zalcman--Pang引理至多复变 函数情形,证明了一类与多复变全纯函数偏导数取值情况相关的多复变正规准则

Abstract

The famous Zalcman–Pang lemma deduces many normality criteria for family of holomorphic functions related with differential polynomials of one complex variable. In this paper, we extend the Zalcman–Pang lemma to the case of high dimension and obtain the normality criteria for family of holomorphic functions of several complex variables related with partial derevatives

关键词

正规族 / 多复变全纯函数 / Bloch原理

Key words

normal family / holomorphic mappings of several complex variables / Bloch principle

引用本文

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张莎莎, 涂振汉. 多复变全纯函数族正规准则. 数学学报, 2010, 53(6): 1045-1050 https://doi.org/10.12386/A2010sxxb0117
Sha Sha ZHANG, Zhen Han TU. Normal Families of Holomorphic Mappings of Several Complex Variables Into P1?. Acta Mathematica Sinica, Chinese Series, 2010, 53(6): 1045-1050 https://doi.org/10.12386/A2010sxxb0117

参考文献


[1] Bergweiler W., Eremenko W., On the singularities of the inverse to a meromorphic function of finite order, Rev. Mat. Iberoam, 1995, 11(2): 335--373.

[2] Chen H. H., Fang M. L., On Value Distribution of fnf', Sci. China Ser. A, 1995, 38: 789--798.

[3] Hayman W. K., Research Problems in Function Theory, London: Athlone Press, 1967.

[4] Erwin M., Uberein Problem Von Hayman, Mathematisch Zeitschrift, 1979, 8(1): 239--259.

[5] Pang X. C., Bloch's principle and normal criterion, Sci. China Ser. A, 1989, 32: 782--791.

[6] Pang X. C., On normal criteria of meromorphic functions, Sci. China Ser. A, 1990, 33: 521--527.

[7] Aladro G., Krantz S. G., A criteria for normality in Cn, J. Math. Anal. Appl., 1991, 161: 1--8.

[8] Bargmann D., Bonk M., Hinkkanen A., Martin G. J., Functions avoiding continuous functions, J. d'Anal. Math., 1999, 79: 379--387.

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