Some results for unicity (Q2703601)

Let \(f\) be an entire function. \(\{a_n;f(a_n)=0\}\), \(\{b_n;f(b_n) =d\), \(d\neq 0\}\) is called a zero \(-d\) set of \(f\). A zero \(-d\) set \(\{a_n\}\), \(\{b_n\}\) is called uniqueness, if there is only an entire function \(f\) such that the zero \(-d\) set of \(f\) is \(\{a_n\},\{b_n\}\). In this paper, the uniqueness of zero \(-d\) set and zero \(-d-\infty\) sets are discussed for entire and meromorphic function.