Acta mathematica scientia,Series B ›› 1987, Vol. 7 ›› Issue (1): 109-120.

• Articles • Previous Articles    

ON THE GROWTH AND VALUE DISTRIBUTION OF ANALYTIC SOLUTIONS OF A CLASS OF ALGEBRAIC DIFFERENTIAL EQUATIONS

He Yuzan1, Gao Shi'an2   

  1. 1. Inst. of Math., Academia Sinica, Dept. of Math., South China;
    2. Normal Beijing, China University, Guangzhou, China
  • Received:1985-09-03 Online:1987-03-25 Published:1987-03-25
  • Supported by:
    Projects supported by the Science Fund of the Academy of Sciences.

Abstract: In this paper, we show that the growth of meromorphic or algebroidal solutions of some algebraic differential equations can be estimated in terms of the growth of the coefficients in tho equation and the counting functions of some value points. We point simulteneously out that the growth of algebroid solutions of certain class of differential equations can be estimated using only the growth of coefficients in the equation, and give an example which is not belonging to this class to show that the above conclusion is not true.

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