An entire function and its k-th derivatives satisfying normality criterion sharing a set of four elements
摘要
In this paper, we study a problem to determine the forms of a non-constant entire function f when it shares a set S of 4 distinct elements with its k-th derivatives. This work is motivated by the work of Chang et al. (Arch Math 89: 561–569, 2007) which pertains to a set of three elements. We have comprehensively extended the same result, as this type of extension has not been addressed earlier.