Normal families of meromorphic functions and shared values
In [Arch. Math. 59, No. 1, 50--54 (1992; Zbl 0758.30028)], \textit{W. Schwick} first proved a normality criterion for a family of meromorphic functions which involves value sharing. This result inspired a number of researchers to establish normality criteria using the concept of value sharing. In the paper under review the authors prove two normality criteria for a family of meromorphic functions when \(P(f)f^{(k)}\) and \(P(g)g^{(k)}\) share a nonzero value for every pair of functions \(f\), \(g\) of the family, where \(P\) is a polynomial having some special properties.
scientific article; zbMATH DE number 6018272
scientific article
Normal families and shared values of meromorphic functions