Abstract

In this paper, we study the normality of a family of meromorphic functions concerning shared values and prove the following theorem: Let F be a family of meromorphic functions in a domain D, let k≥2 be a positive integer, and let a, b, c be complex numbers such that a≠b. If, for each f∈F, f and f(k) share a and b in D, and the zeros of f(z)−c are of multiplicity ≥k+1, then F is normal in D.

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