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 …

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 …

URS and bi-URS for Meromorphic Functions in a non-Archimedean Field

HH Khoai, VH An - p-Adic Numbers, Ultrametric Analysis and Applications, 2020 - Springer
Let\mathbb K be an algebraically closed field of characteristic zero, complete for a non-
Archimedean absolute value. In this paper, we give a new class of unique range sets for …

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 …

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 …

[PDF][PDF] On value distribution of L-functions sharing finite sets with meromorphic functions

HH Khoai, VH An, ND Phuong - Bull. Math. Soc. Sci. Math. Roumanie (NS), 2023 - ssmr.ro
In [17] the authors showed the existence of subsets S⊂ C with 7 elements such that if a non-
constant meromorphic function f, having finitely many poles, and an L-function in the Selberg …

[PDF][PDF] A new class of unique range sets for meromorphic functions ignoring multiplicity with 15 elements

HA Vu - Thang Long Journal of Science: Mathematics and …, 2023 - science.thanglong.edu.vn
A NEW CLASS OF UNIQUE RANGE SETS FOR MEROMORPHIC FUNCTIONS IGNORING
MULTIPLICITY WITH 15 ELEMENTS Page 1 J. Math. Math. Sci. (2022) 103–115 A NEW …

Uniqueness of meromorphic functions that share Two Sets

AK Pal, B Chakraborty, S Saha - arXiv preprint arXiv:2211.00506, 2022 - arxiv.org
arXiv:2211.00506v2 [math.CV] 18 Nov 2023 Page 1 arXiv:2211.00506v2 [math.CV] 18 Nov
2023 UNIQUENESS OF MEROMORPHIC FUNCTIONS THAT SHARE TWO SETS AMIT …

Unique range sets: a further study II

R Saha, S Mallick - Rendiconti del Circolo Matematico di Palermo Series 2, 2023 - Springer
The paper presents a general characterization of unique range sets with least weight under
which all the existing results of unique range sets occur as a special case. Consequently …

Some results on the unique range sets

B Chakraborty, J Kamila, AK Pal, S Saha - arXiv preprint arXiv:2005.00374, 2020 - arxiv.org
In this paper, we exhibit the equivalence between different notions of unique range sets,
namely, unique range sets, weighted unique range sets and weak-weighted unique range …