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Uniqueness of meromorphic functions and differential polynomials

✍ Scribed by Cai-Yun Fang; Ming-Liang Fang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
442 KB
Volume
44
Category
Article
ISSN
0898-1221

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✦ Synopsis

Using Nevanlinna value distribution theory, we study the uniqueness of meromorphic functions concerning differential polynomials, and prove the following theorem. Let f(z) and g(z) be two nonconstant meromorphic functions, n(> 13) be a positive integer. If f'~(f -1)2f ' and gn(g _ 1)2g~ share 1 CM, then f ----g.

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