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http://dx.doi.org/10.4134/BKMS.2008.45.3.427

ON THE VALUE DISTRIBUTION OF DIFFERENTIAL POLYNOMIALS  

Bhoosnurmath, Subhas S. (DEPARTMENT OF MATHEMATICS KARNATAK UNIVERSITY)
Kulkarni, Milind Narayanrao (DEPARTMENT OF MATHEMATICS KARNATAK UNIVERSITY)
Yu, Kit-Wing (DEPARTMENT OF MATHEMATICS UNITED CHRISTIAN COLLEGE)
Publication Information
Bulletin of the Korean Mathematical Society / v.45, no.3, 2008 , pp. 427-435 More about this Journal
Abstract
In this paper we consider the problem of whether certain homogeneous or non-homogeneous differential polynomials in f(z) necessarily have infinitely many zeros. Particularly, this extends a result of Gopalakrishna and Bhoosnurmath [3, Theorem 2] for a general differential polynomial of degree $\bar{d}$(P) and lower degree $\underline{d}$(P).
Keywords
differential polynomials; homogeneous; meromorphic functions; Nevanlinna theory; non-homogeneous; value distribution; zeros;
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