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Imaginary values of meromorphic functions in the disk

Imaginary values of meromorphic functions in the disk

Let / be a meromorphic function in the unit disk, and let Φ(r,f) be the number of solutions of the equation Re f(re iθ ) = 0 f or 0 ^ θ ^ 2π.In this paper we bound φ{r, f) off S r Φ(t, /)(1t)~1dt 0 for all r, in …