科研之友
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摘要
Let F be a family of meromorphic functions in a domain D, and let k be a positive integer, and let b be a nonzero complex number. If, for each f is an element of F, f not equal 0, f((k)) not equal 0 and the zeros of f((k)) - b have multiplicity at least 3 for k = 1 and 2 for k >= 2, then F is normal in D. Examples show that the multiplicity of the zeros of f((k)) - b is best possible.
