Address: Department of Mathematics, Raiganj University, Raiganj, West Bengal 733134, India
E-mail:
sujoy.katwa@gmail.com
sm05math@gmail.com
smajumder05@yahoo.in
rajibmathresearch@gmail.com
rajib_math@yahoo.in
Abstract: The motivation of this paper is to study the uniqueness of meromorphic functions sharing a nonzero polynomial with the help of the idea of normal family. The result of the paper improves and generalizes the recent result due to Zhang and Xu [24]. Our another remarkable aim is to solve an open problem as posed in the last section of [24].
AMSclassification: primary 30D35; secondary 30D30.
Keywords: normal families, uniqueness, meromorphic function, small functions.
DOI: 10.5817/AM2018-2-65