Uniqueness of -Functions and General Meromorphic Functions in Light of Two Shared Sets

In this paper, we have dealt with the uniqueness problem of a general meromorphic function with function in terms of two shared sets. In our main theorem, we deal with general meromorphic functions instead of meromorphic functions having finitely many poles. As a corollary of our main theorem, we ha...

Full description

Saved in:
Bibliographic Details
Published inJournal of contemporary mathematical analysis Vol. 59; no. 1; pp. 47 - 63
Main Authors Saha, R., Mallick, S.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 2024
Springer Nature B.V
Subjects
Mathematics
Mathematics and Statistics
Meromorphic functions
Real and Complex Analysis
Theorems
Uniqueness
shared set
L-function
meromorphic function
Online AccessGet full text

Cover

More Information
Summary:In this paper, we have dealt with the uniqueness problem of a general meromorphic function with function in terms of two shared sets. In our main theorem, we deal with general meromorphic functions instead of meromorphic functions having finitely many poles. As a corollary of our main theorem, we have shown that our result not only fills the gap of some theorems of [ 3 ] and [ 1 ] for but also reduces the cardinality of the main range set and hence our result significantly improves all the results in this direction.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362324010060