Meromorphic Function Sharing Two Small Functions with Its Derivative
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In this paper, we deal with the problem of uniqueness of meromorphic functions that share two small functions with their derivatives, and obtain the following result which improves a result of Yao and Li: Let f(z) be a nonconstant meromorphic function, k > 5 be an integer. If f(z) and g(z) = a1(z)f(z) + a2(z)f(k)(z) share the value 0 CM, and share b(z) IM, NE(r, f = 0 = f(k)) = S(r), then f ≡ g, where a1(z), a2(z) and b(z) are small functions of f(z).
Abstract
In this paper, we deal with the problem of uniqueness of meromorphic functions that share two small functions with their derivatives, and obtain the following result which improves a result of Yao and Li: Let f(z) be a nonconstant meromorphic function, k > 5 be an integer. If f(z) and g(z) = a1(z)f(z) + a2(z)f(k)(z) share the value 0 CM, and share b(z) IM, NE(r, f = 0 = f(k)) = S(r), then f ≡ g, where a1(z), a2(z) and b(z) are small functions of f(z).
참고문헌 (8)
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