Non-real zeros of derivatives of real meromorphic functions

Details Non-real zeros of derivatives of real meromorphic functions Non-real zeros of derivatives of real meromorphic functions

2009-03-13

arxiv.org/abs/0903.2328v1

Mathematics

Complex Variables

Scientific paper

The main result of the paper determines all real meromorphic functions of
finite order in the plane for which the first derivative has finitely many
zeros, while the function itself and one of its higher derivatives have
finitely many non-real zeros.

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