Bulletin of the
Korean Mathematical Society BKMS

In this paper, we study the value distribution of meromorphic functions and prove the following theorem: Let $f(z)$ be a transcendental meromorphic function. If $f$ and $f'$ have the same zeros, then $f'(z)$ takes any non-zero value $b$ infinitely many times.

Keywords: meromorphic function, Picard value, normal criterion, value distribution

MSC numbers: 30D35