UNIQUENESS OF MEROMORPHIC FUNCTION A N D ITS DIFFERENCE POLYNOMIAL OF DIFFERENCE OPERATOR SHARING ONE OR MORE SETS WITH FINITE WEIGHT

Abstract

In this paper, we mainly investigate the uniqueness property of meromorphic functions together with its difference polynomial of difference operator with finite weight sharing one or two sets. With the help of range set introduced in Banerjee and Chakraborty (Jordan J Math Stat 117-139. 2016), we have improved the result of Goutam Haldar (J Anal 2022. 1-17) and obtain the unique range set corresponding to shift operators. The examples is exhibited to validate certain claims of the main result. © 2025 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.