Uniqueness of meromorphic function with its shift operator under the purview of two or three shared sets-Reference-Cited by-同舟云学术

Uniqueness of meromorphic function with its shift operator under the purview of two or three shared sets

Published:2019-05-21 Issue:3 Volume:69 Page:557-572
ISSN:1337-2211
Container-title:Mathematica Slovaca
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 Mahavidyalya , West Bengal , 734014 , India

Abstract

Abstract Taking two and three shared set problems into background, the uniqueness problem of a meromorphic function together with its shift operator have been studied. Our results will improve a number of recent results in the literature. Some examples have been provided in the last section to show that certain conditions used in the paper, is the best possible.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0247/pdf

Reference15 articles.

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3. Banerjee, A.—Mallick, S.: On the characterizations of the new class of strong uniqueness polynomials generating unique range sets, Comput. Math. Funct. Theo. 17 (2017), 19–45.

4. Bhoosnurmath, S. S.—Kabbur, S. R.: Value distribution and uniqueness theorems for difference of entire and meromorphic functions, Int. J. Anal. Appl. 2(2) (2013), 124–136.

5. Chen, B.—Chen, Z.: Meromorphic functions sharing two sets with its difference operator, Bull. Malays. Math. Soc. 35(3) (2012), 765–774.

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