亚纯函数的一个基本不等式——纪念李国平院士吴新谋教授诞辰100周年

Abstract

Abstract:

This paper explores an upper bound of the characteristic function of meromorphic function by using the method of Professor Hiong Kinglai and Professor Li Guoping. The abtained results are more general than those of Professor Hiong Kinglai, thus more general and more accurate than those of Professor Valiron and Professor Milloux.

Key words: Upper bound, Meromorphic function, Inequality, Characteristic function

CLC Number:

30D30

Cite this article

LI Xue-Quan, TAN Wei-Ping, CAI Hai-Tao. A Fundamental Inequality in the Theory of Meromorphic Functions[J].Acta mathematica scientia,Series A, 2010, 30(5): 1288-1291.

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References

[1] Hiong Kinglai. Sur les fonctions entiers et meromorphes d'ordre infinie. J de Math, 1935, 233--308

[2] Li Guoping. The Accumulative Lines Theory of Meromorphic Functions. Beijing: Science Press, 1958

[3] Li Guoping. Several Problems in the Complex functions Theory, Research Report of Wuhan Institute of Physics and Mathematics. Chinese Academy of Sciences, 1980

[4] Ding xiaqi. Li Guoping's Studies on Relationship Between the Complex Functions Theory and Mathematical Physics. Jinan: Shandong Education Press, 2002

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A Fundamental Inequality in the Theory of Meromorphic Functions

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