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http://dx.doi.org/10.4134/CKMS.c200230

UNIQUENESS OF MEROMORPHIC FUNCTION WITH ITS LINEAR DIFFERENTIAL POLYNOMIAL SHARING TWO VALUES  

Banerjee, Abhijit (Department of Mathematics University of Kalyani)
Maity, Sayantan (Department of Mathematics University of Kalyani)
Publication Information
Communications of the Korean Mathematical Society / v.36, no.3, 2021 , pp. 515-526 More about this Journal
Abstract
The paper has been devoted to study the uniqueness problem of meromorphic function and its linear differential polynomial sharing two values. We have pointed out gaps in one of the theorem due to [1]. We have further extended the corrected form of Chen-Li-Li's result which in turn extend the an earlier result of [8] in a large extent. In fact, we have subtly use the notion of weighted sharing of values in this particular section of literature which was unexplored till now. A handful number of examples have been provided by us pertinent to different discussions. Specially we have given an example to show that one condition in a theorem can not be dropped.
Keywords
Meromorphic function; linear differential polynomial; uniqueness; weighted sharing; derivative;
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