The uniqueness problem for meromorphic functions in the unit disc sharing values and a set in an angular domain (Q2879604)

The authors study a uniqueness problem for meromorphic functions \(f\) in the unit disc \(\mathbb{D}\) for which \(\limsup_{r\to 1^-}{T(r,f)\over -\log(1- r)}= \infty\). The main result is a generalization of a theorem of \textit{Z. Mao} and \textit{H. Liu} [J. Math. Anal. Appl. 359, No. 2, 444--450 (2009; Zbl 1169.30009)] to functions sharing four distinct values and a set in an angular domain.