Bulletin of the
Korean Mathematical Society BKMS

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 $\overline d \left( P \right)$ and lower degree $\underline{d}\left( P \right)$.

Keywords: differential polynomials, homogeneous, meromorphic functions, Nevanlinna theory, non-homogeneous, value distribution, zeros

MSC numbers: 30D05