Uniqueness of a Polynomial and a Differential Monomial Sharing a Small Function-Reference-Cited by-同舟云学术

Uniqueness of a Polynomial and a Differential Monomial Sharing a Small Function

Published:2016-07-01 Issue:1 Volume:54 Page:55-71
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Banerjee Abhijit¹,Ahamed Molla Basir²

Affiliation:

1. Department of Mathematics, University of Kalyani, Nadia, West Bengal, 741235, India

2. Department of Mathematics, Kalipada Ghosh Tarai Mahavidyalaya, Bagdogra, Darjeeling, West Bengal, 734014, India

Abstract

Abstract In this paper taking a question in [1] into background we investigate the uniqueness of a non-constant polynomial with the differential monomial generated by a non-constant mermorphic function f. Our result will also extend a result of Banerjee-Majumder[2] given earlier. An open question is also posed, in the paper, for future investigation.

Publisher

Walter de Gruyter GmbH

Reference13 articles.

1. [1] A. Banerjee and B. Chakraborty, Further investigations on a question of Zhang and Lü, Ann. Univ. Paedagog. Crac. Stud. Math., 14, (2015), 105-119.

2. [2] A. Banerjee and S. Majumder, On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative, Comment. Math. Univ. Carolin., 51, (2010), 565-576.

3. [3] R. Brück, On entire functions which share one value CM with their first derivative, Results Math., 30, (1996), 21-24.

4. [4] W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford, 1964

5. [5] I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl., 46, (2001), 241-253.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Uniqueness of meromorphic functions and their powers in set sharing;Journal of Applied Analysis;2024-01-11

2. Polynomial of a meromorphic function and its k-th derivative sharing a set;Publications de l'Institut Math?matique (Belgrade);2022

3. Uniqueness of difference-differential polynomials of meromorphic functions sharing a small function IM;The Journal of Analysis;2021-07-03

4. A Simple Proof of the Chuang’s Inequality;Annals of West University of Timisoara - Mathematics and Computer Science;2017-12-01