On strong uniqueness polynomials in the wider sense and associated unique range sets of the same category

A Banerjee, J Banerjee - Advanced Studies: Euro-Tbilisi …, 2023 - projecteuclid.org
In this paper, motivated by the definition of Strong Uniqueness Polynomial for Meromorphic
Functions (SUPM) as introduced by Fujimoto earlier, we have strived on the utmost …

Uniqueness of meromorphic function with its shift operator under the purview of two or three shared sets

A Banerjee, MB Ahamed - Mathematica Slovaca, 2019 - degruyter.com
Taking two and three shared set problems into background, the uniqueness problem of a
meromorphic function together with its shift operator have been studied. Our results will …

[PDF][PDF] On some sufficient conditions for periodicity of meromorphic function under new shared sets

A Banerjee, MB Ahamed - Filomat, 2019 - doiserbia.nb.rs
This paper deals with the two set sharing problem related to the uniqueness of a function
and its shift operator. With the help of two new range sets we shall significantly improve a …

[PDF][PDF] Bi-unique range sets for meromorphic functions

A Banerjee - 2013 - projecteuclid.org
Nihonkai Math. J. Vol.24(2013), 121–134 BI-UNIQUE RANGE SETS FOR MEROMORPHIC
FUNCTIONS 1. Introduction Page 1 Nihonkai Math. J. Vol.24(2013), 121–134 BI-UNIQUE …

Effect of the zeros of initial term non-gap polynomials of higher index on the uniqueness of meromorphic functions

A Banerjee, J Banerjee - ANNALI DELL'UNIVERSITA'DI FERRARA, 2024 - Springer
In this article, we have first introduced the definition of index of initial term non-gap
polynomials (ITNGP). Next, we extend the well known definition of weighted sharing of sets …

Uniqueness properties of meromorphic functions in the light of three shared sets

A Banerjee, S Mallick - Mathematica Slovaca, 2018 - degruyter.com
We use the notion of weighted sharing of sets to improve a number of results in the
uniqueness theory of meromorphic functions sharing three sets. We have also presented a …

Further results on the uniqueness of meromorphic functions and their derivative counterpart sharing one or two sets

A Banerjee, B Chakraborty - arXiv preprint arXiv:1608.02539, 2016 - arxiv.org
In this paper we prove a number of results concerning uniqueness of a meromorphic
function as well as its derivative sharing one or two sets. In particular, we deal with the …

Uniqueness and two shared set problems of meromorphic functions in a different angle

S Mallick, A Banerjee - Mathematica Bohemica, 2021 - dml.cz
The purpose of the paper is to represent the two shared set problems in an elaborative and
convenient manner. In the main result of the paper, we have exhaustively treated the two …

[PDF][PDF] On uniqueness of meromorphic functions sharing three sets with finite weights

A Banerjee, MB Ahamed - Bulletin of the Polish Academy of …, 2014 - yadda.icm.edu.pl
We prove the uniqueness of meromorphic functions sharing some three sets with finite
weights. 1. Introduction, definitions and results. In the paper we will denote by C the set of all …

Investigations on unique range sets of meromorphic functions in an angular domain

S Maity, A Banerjee - Mathematica Bohemica, 2023 - dml.cz
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 …