Non-real zeros of derivatives of real meromorphic functions

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Non-real Zeros of Derivatives of Real Meromorphic Functions

The main result of the paper determines all real meromorphic functions f of finite order in the plane such that f ′ has finitely many zeros while f and f(k), for some k ≥ 2, have finitely many non-real zeros. MSC 2000: 30D20, 30D35.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2009

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-09-09979-1