On the characterisations of a new class of strong uniqueness polynomials generating unique range sets

A Banerjee, S Mallick - Computational Methods and Function Theory, 2017 - Springer
The purpose of the paper is to introduce a new class of strong uniqueness polynomials with
the best possible answer to the question posed by the first author (Banerjee, Ann Acad Sci …

[PDF][PDF] A new class of strong uniqueness polynomials satisfying Fujimoto's condition

A Banerjee - Annales Fennici Mathematici, 2015 - afm.journal.fi
The purpose of the paper is to introduce a new class of strong uniqueness polynomial
satisfying Fujimoto's conditions. We shall also show that for a suitably prescribing value of …

Strong uniqueness polynomials of degree 6 and unique range sets for powers of meromorphic functions

HH Khoai, VH An, NX Lai - International Journal of Mathematics, 2018 - World Scientific
We investigate the uniqueness problems for meromorphic functions with higher multiplicities
of zeros and poles. As a consequence, we present a class of strong uniqueness polynomials …

Unique range sets-a further study

S Mallick - Filomat, 2020 - doiserbia.nb.rs
The purpose of the paper is to investigate the problems of unique range sets in the most
general setting. Accordingly, we have studied sufficient conditions for a general polynomial …

[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 …

On the Extended Class of SUPM and Their Generating URSM Over Non-Archimedean Field

A Banerjee, S Maity - p-Adic Numbers, Ultrametric Analysis and …, 2021 - Springer
In this article, we investigate an extended class of strong uniqueness polynomial over non-
Archimedean field than that was recently studied by Khoai-An [-Adic Numb. Ultrametr. Anal …

Fujimoto's theorem-a further study

A Banerjee - Journal of Contemporary Mathematical Analysis, 2016 - Springer
In the paper we improve Fujimoto's sufficient condition for a finite set to be a Unique Range
Set under relaxed sharing hypothesis. We introduce a new sharing notion which directly …

On the existence of unique range sets generated by non-critically injective polynomials and related issues

S Mallick - Tbilisi Mathematical Journal, 2020 - projecteuclid.org
In this paper, we prove the existence of non-critically injective polynomials whose set of
zeros form unique range sets that answers one of the most awaited and fundamental …

Further investigations on a unique range set under weight 0 and 1

A Banerjee, S Maity - Carpathian Mathematical Publications, 2022 - ktipe.pnu.edu.ua
In this paper, we have found the most generalized form of the famous Frank-Reinders
polynomial. With the help of this, we have investigated the unique range set of a …

On the distribution of unique range sets and its elements over the extended complex plane

S Mallick - Matematychni Studii, 2023 - matstud.org.ua
In the paper, we discussed the distribution of unique range sets and its elements over the
extended complex plane from a different point of view and obtained some new results …