Abstract
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.
Original language | English (US) |
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Pages (from-to) | 39-74 |
Number of pages | 36 |
Journal | Annales Academiae Scientiarum Fennicae Mathematica |
Volume | 22 |
Issue number | 1 |
State | Published - 1997 |
ASJC Scopus subject areas
- Mathematics(all)