Meromorphic functions sharing four small functions |
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Authors: | Tran Van Tan |
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Affiliation: | 1.Department of Mathematics,Hanoi National University of Education,Cau Giay, Hanoi,Vietnam |
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Abstract: | It is well known that if two nonconstant meromorphic functions f and g on the complex plane ? have the same inverse images counted with multiplicities for four distinct values, then g is a Möbius transformation of f. In this paper, we will show that the above result remains valid if f and g share four distinct small functions counted with multiplicities truncated by 2. This is the best possible truncation level. |
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