<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Let <italic>f</italic> and <italic>g</italic> be two nonconstant meromorphic functions sharing two finite sets, namely <italic>S ⊂</italic> ℂ and {∞}. We prove two uniqueness theorems under weaker conditions on ramification indices, reducing the cardinality of the shared set <italic>S</italic> and weakening the nature of sharing of the set {∞} which improve results of Fang-Lahiri [7], Lahiri [17], Banerjee -Majumder-Mukherjee [5] and others.</p>
</abstract>

Let f and g be two nonconstant meromorphic functions sharing two finite sets, namely S ⊂ ℂ and {∞}. We prove two uniqueness theorems under weaker conditions on ramification indices, reducing the cardinality of the shared set S and weakening the nature of sharing of the set {∞} which improve results of Fang-Lahiri [7], Lahiri [17], Banerjee -Majumder-Mukherjee [5] and others.

Uniqueness of meromorphic functions sharing two sets with least possible cardinalities

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Let f and g be two nonconstant meromorphic functions sharing two finite sets, namely S ⊂ ℂ and {∞}. We prove two uniqueness theorems under weaker conditions on...

Uniqueness of meromorphic functions sharing two sets with least possible cardinalities

Pubblicato online: 21 dic 2020

Pagine: 112 - 130

DOI: https://doi.org/10.2478/awutm-2019-0019

Parole chiave
Meromorphic function, uniqueness, set sharing

© 2019 Arindam Sarkar, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Uniqueness of meromorphic functions sharing two sets with least possible cardinalities

Pubblicato online: 21 dic 2020

Pagine: 112 - 130

DOI: https://doi.org/10.2478/awutm-2019-0019

Parole chiaveMeromorphic function, uniqueness, set sharing

© 2019 Arindam Sarkar, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Parole chiave
Meromorphic function, uniqueness, set sharing