Abstract:

Let F be a family of meromorphic functions defined in a domain D, ψ(z)≠0 be a holomorphic function in D and k be a positive integer. If for each f∈F with f≠0, for each pair of functions f and g in F, f(k)and g(k) share ψ(z) in D, then F is normal in D, which improves a result obtained by Xu Yan in 2010.

Key words: meormorphic function; normality; shared functions