RESULTS ON UNIQUENESS OF L-FUNCTIONS CONCERNING WEIGHTED SHARING


By

Harina P. Waghamore and Megha M. Manakame

Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru 560-056, India

Email: harinapw@gmail.com and megha.manakame80@gmail.com

(Received: July 14, 2022; In format: August 19, 2023; Revised: December 09, 2023; Accepted: December 15, 2023)


DOI: https://doi.org/10.58250/jnanabha.2023.53237


 

Abstract

In this paper using the notion of weighted sharing, we consider the value distribution of a L- function and meromorphic function when certain type of difference-differential polynomials which share a small function and rational function and obtain some uniqueness results which extends recent results due to Hao and Chen[2].


2020 Mathematical Sciences Classification: Primary 30D35.

Keywords and Phrases: Meromorphic functions, L-functions, difference-differential polynomial, weighted sharing, uniqueness, small function, rational function.


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