Articles

ON THE C. CHANG TYPE INEQUALITY OF ALGEBROID FUNCTIONS

  • SUN Dao-Chun ,
  • GAO Zong-Sheng
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  • School of Mathematics, South Normal University, Guangzhou 510631, China|LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China

Received date: 2009-08-31

  Online published: 2011-05-20

Supported by

This work is supported by National Natural Science Foundation of China (10471048; 10771011) and the Fundamental Research Funds for the Central Universities.

Abstract

In this paper, we investigate the growth relations between algebroid functions and their derivatives, and extend famous C. Chang inequality (see [1, 4]) of meromorphic functions to algebroid functions.

Cite this article

SUN Dao-Chun , GAO Zong-Sheng . ON THE C. CHANG TYPE INEQUALITY OF ALGEBROID FUNCTIONS[J]. Acta mathematica scientia, Series B, 2011 , 31(3) : 835 -842 . DOI: 10.1016/S0252-9602(11)60280-4

References

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[3]  He Y,  Xiao X. Algebroid functions and ordinary differential equations (in Chinese). Beijing: Science Press, 1988

[4]  Lang L. Value Distribution Theory. Berlin: Springer, 1993

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[6] Sun D, Gao Z.  On the operations of algebroid functions. Acta Math Sci, 2010, 30B(1): 247--256

[7]  Tsuji M. Potential Theory in Modern Function Theory. Tokyo: Maruzen, 1959

[8]  Yang C, Yi H. Uniqueness Theory of Meromorphic Functions. Beijing: Science Press, 2003

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