UNICITY THEOREMS CONCERNING A L-FUNCTION AND A MEROMORPHIC FUNCTION

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads :

Volume : 20 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2024.2001.7
Author :
Harina P. Waghamore (Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru - 560056, Karnataka, INDIA)
Preetham N. Raj (Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru - 560056, Karnataka, INDIA)

Abstract

Inspired by a lot of studies on the uniqueness results of a $L$-function with a meromorphic function, in this article, we examine the uniqueness of two differential polynomials, one generated by a meromorphic function with finitely many poles and another by a $L$-function, when they share two values with some weight. The results of our examination extend, generalize as well as improve the results of Hao and Chen [2, 3].

Keywords and Phrases

L-function, linear differential polynomial, sharing values, finite weight, Nevanlinna theory.

A.M.S. subject classification

30D35.

.....

View PDF Click here to Subscribe now