Annali di Matematica Pura ed Applicata

, Volume 91, Issue 1, pp 41–52

# On meromorphic solutions of generalized algebraic differential equations

• Chung-Chun Yang
Article

## Summary

In this paper we investigate the rate of growth of meromorphic functions f which are solutions of certain algebraic differential equation whose coefficients a(z) are arbitrary meromorphic functions. By method based on Nevanlinna's theory of meromorphic functions, it has been shown that if the zeros and poles of f satisfy the condition N(r, f′/f)=S(r, f′/f) then the ratio T(r, f′/f)/(T(r, a(z)), as r → ∞ outside a set of r values of finite measure, is bounded for at least one of the coefficients a(z).

## Keywords

Entire Function Meromorphic Function Finite Order Algebraic Differential Equation Finite Measure
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