Unicity for Meromorphic Function and ItsDifferential Polynomial |
Received:October 26, 1998 |
Key Words:
Meromorphic function entire function differential polynomial sharing func-tion.
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Abstract: |
In this paper we proved the following theorem: Suppose that f is a nonconstantmeromorphic function, and g is a linear differential polynomial of f. a and b are two distinctsmall functions with respect to f. If f and g share a and b almost CM, then f≡g. Moreoverwe also solved the problem posed by [4]: Suppose that f is a nonconstant entire function, aand b are two distinct small functions of f. If f and f(k)(k ≥1 ) share a and b IM, and b-a≠Peλz then f≡g. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2002.02.016 |
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