Uniqueness of L-function and certain class of meromorphic function under two weighted shared sets of least cardinalities


Abhijit Banerjee, Arpita Kundu




In this article we study the uniqueness problem of an L function belonging to the Selberg class with an arbitrary meromorphic function having finite poles sharing two sets. Actually to answer a question raised by Lin-Lin [ Filomat, 30(2016), 3795-3806], we have significantly improved a recent result [Rend. Del. Math. Palermo, (2020)(published online)] of the authors and that of Chen-Qiu [Acta. Math. Sci., 40B(4) (2020), 930-980]. Moreover we have also been able to provide the best possible answer of another unsolved question of [ Filomat, 30(2016), 3795-3806] and investigated the results of the same in the light of finite weighted sharing.