Zeros of derivatives of strictly non-real meromorphic functions

Let f be a meromorphic non-entire function in the plane, and suppose that for every n ≥ 0, the derivative f⁽ⁿ⁾ has only real zeros. We have proved that then f is rational and of a special form, and that all possibilities can be listed. In this paper we prove that part of this result which is related to properties of strictly non-real functions.