Further Results about the Normal Family of Meromorphic Functions and Shared Sets
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Let F be a family of meromorphic functions in a domain D, and let k, n(≥ 2)be two positive integers, and let S = {a1,a2,...,an}, where a1,a2,...,an are distinct finite complex numbers. If for each f ∈ F, all zeros of f have multiplicity at least k + 1, f and G(f) share the set S in D, where G(f) = P(f(k))+H(f) is a differential polynomial of f, then F is normal in D
Abstract
Let F be a family of meromorphic functions in a domain D, and let k, n(≥ 2)be two positive integers, and let S = {a1,a2,...,an}, where a1,a2,...,an are distinct finite complex numbers. If for each f ∈ F, all zeros of f have multiplicity at least k + 1, f and G(f) share the set S in D, where G(f) = P(f(k))+H(f) is a differential polynomial of f, then F is normal in D
참고문헌 (9)
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