论文信息 - Some extensions of the Tumura-Clunie theorem

Some extensions of the Tumura-Clunie theorem

There are many applications and extensions on the Tumura-Clunie theorem. Generalizing a result of Weissenborn we prove that, for any meromorphic function f(z) and any differential polynomial P[f] of weight less than n, either the inequality holds or there exists a small function a(z) related to f(z) such that We also consider the case where the degree of P[f] is less than n.

X. Hua

[1] Yin Xun. On a Theorem of Tumura and Clunie for a Differential Polynomial , 1988 .

[2] G. Weissenborn. On the Theorem of Tumura and Clunie , 1986 .

[3] N. Steinmetz,et al. The Theorem of Tumura‐Clunie for Meromorphic Functions , 1981 .

[4] Chung-Chun Yang. Applications of the Tumura-Clunie theorem , 1970 .

[5] L. Sons. Deficiencies of monomials , 1969 .

[6] J. Clunie. On Integral and Meromorphic Functions , 1962 .