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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Author NameAffiliation
WANG Jian-ping Dept. of Math.
Shandong University
Jinan
China
Dept. of Math.
Shaoxing College of Arts and Sciences
Zhejiang
China 
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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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