Creating limit functions by the Pang-Zalcman lemma
The authors calculate the collection of limit functions obtained by applying a modification of \textit{L. Zalcman}'s lemma [Am. Math. Mon. 82, 813--817 (1975; Zbl 0315.30036)] due to \textit{X. Pang} [Sci. China, Ser. A 32, No. 7, 782--791 (1989; Zbl 0687.30023)] to the non-normal family \(\{f(nz):n\in\mathbb{N}\}\) in \(\mathbb{C}\). Here \(f\) is of the form \(f=R\exp(P)\), where \(R\) is an arbitrary rational function and \(P\) is an arbitrary non-constant polynomial.
scientific article; zbMATH DE number 6073748