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Uniqueness of meromorphic functions concerning differential monomials sharing the same value. (English) Zbl 1164.30022

In 1997 C. C. Yang and X. Hua [Ann. Acad. Sci. Fenn., Math. 22, No. 2, 305-406 (1997; Zbl 0890.30019)] studied the uniqueness of meromorphic functions when the product of some power of the functions and their first derivatives share certain value with counting multiplicities. Several attempts have been made to improve the result of Yang and Hua. In the paper under review the authors introduce an idea of relaxed weighted sharing to prove another version of the theorem of Yang-Hua.

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Citations:

Zbl 0890.30019
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