小函数和加权共享三个值

T. Alzahary
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引用次数: 5

摘要

本文研究了加权共享三值亚纯函数的唯一性问题,改进了Yi定理4,Yi, H.X., 1995,共享三值亚纯函数的唯一性定理。[j] .数学学报,2004,18 (3):357 - 357 .]Ueda, H., 1983,亚纯函数的唯一性定理[j]。Kodai Mathematical Journal, 6, 26-36]等作者。应用这些新结果,如果f和g是两个不同的共享0,1和CM的非常亚纯函数,且a是一个非常有理函数,则N2)(r,1/(g-a))=[图像省略]。一个例子表明后一个结果对于f和g的一些超越小函数不成立。
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Small functions and weighted sharing three values
This article studies the problem of the uniqueness of meromorphic functions that weighted sharing three values which improve some results given by Yi [Theorem 4, Yi, H.X., 1995, Unicity theorems for meromorphic functions that share three values. Kodai Mathematical Journal, 18, 300-314] and Ueda [Ueda, H., 1983, Unicity theorems for meromorphic or entire functions II. Kodai Mathematical Journal, 6, 26-36] and other authors. An application of these new results, if f and g are two distinct nonconstant meromorphic functions sharing 0, 1 and CM, and a is a nonconstant rational function, then N2)(r,1/(g-a))= [image omitted] An example shows that the latter result is not true for some transcendental small functions of f and g.
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