Investigations on unique range sets of meromorphic functions in an angular domain
Sayantan Maity, Abhijit Banerjee
Received December 1, 2021. Published online December 19, 2022.
Abstract: We study unique range sets of meromorphic functions over an angular domain in the light of weighted sharing. One of our main results generalizes and improves a result of Xu et al. (2014). Most importantly, we have pointed out a gap in the proofs of some main results of Rathod (2021) and subsequently rectifying the gap we have conveniently improved the results.
Keywords: angular domain; meromorphic function; unique range set
Affiliations: Sayantan Maity (corresponding author), Abhijit Banerjee, Department of Mathematics, University of Kalyani, Kalyani, Nadia-741235, West Bengal, India, e-mail: sayantanmaity100@gmail.com, abanerjee_kal@yahoo.co.in