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- Title
UNIQUENESS AND DIFFERENTIAL POLYNOMIALS OF MEROMORPHIC FUNCTIONS SHARING A POLYNOMIAL.
- Authors
Sahoo, Pulak
- Abstract
In this paper, we deal with the uniqueness problems of meromorphic functions when certain nonlinear differential polynomials generated by them share a nonconstant polynomial counting multiplicities by considering that the functions share infinity, ignoring multiplicities. The research findings also include IM-analogues of the theorem in which the nonconstant polynomial is allowed to be shared ignoring multiplicities. Though the main concern of the paper is to find out a possible answer of an open question posed by Zhang and Xu [Computer Math, with Appl., 61(2011), 722-730], as a consequence of the main results we also improves the concerning results of Zhang - Xu and the present author [Bull. Math. Anal. Appl., 2(2010), 106-118].
- Subjects
UNIQUENESS (Mathematics); MEROMORPHIC functions; DIFFERENTIAL dimension polynomials
- Publication
Palestine Journal of Mathematics, 2016, Vol 5, Issue 2, p46
- ISSN
2219-5688
- Publication type
Article