Uniqueness properties of meromorphic functions in the light of three shared sets-Reference-Cited by-同舟云学术

Uniqueness properties of meromorphic functions in the light of three shared sets

Published:2018-05-18 Issue:3 Volume:68 Page:591-606
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Banerjee Abhijit¹,Mallick Sanjay²

Affiliation:

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

2. Department of Mathematics Cooch Behar Panchanan Barma University Cooch Behar West Bengal 736101 India

Abstract

Abstract We use the notion of weighted sharing of sets to improve a number of results in the uniqueness theory of meromorphic functions sharing three sets. We have also presented a new idea in the formation of one of the range sets in connection with the three shared set problems, which ultimately yields a better result than many existing result in some sense.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0127/pdf

Reference17 articles.

1. Alzahary, T. C.: Meromorphic functions with weighted sharing of one set, Kyungpook Math. J. 47 (2007), 57–68.

2. Alzahary, T. C.—Yi, H. X.: Weighted value sharing and a question of I. Lahiri, Complex Var. Theory Appl. 49 (2004), 1063–1078.

3. Banerjee, A.—Bhattacharajee, P.: Uniqueness and set sharing of derivatives of meromorphic functions, Math. Slovaca. 61 (2011), 197–214.

4. Banerjee, A.—Mallick, S.: On the bi-unique range sets for derivatives of meromorphic functions, Surv. Math. Appl. 10 (2015), 95–111.

5. Banerjee, A.—Mallick, S.: On the characterisations of a new class of strong uniqueness polynomials generating unique range sets, Comput. Methods Funct. Theory, 10.1007/s40315-016-0174-y.

Cited by 2 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 function under weighted sharing of two or three sets exclusively in $${\mathbb {C}}$$;Rendiconti del Circolo Matematico di Palermo Series 2;2023-08-26

2. On a question of Yi;Advanced Studies: Euro-Tbilisi Mathematical Journal;2022-03-01