2010Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

Non-real zeros of derivatives of real meromorphic functions of infinite order

J. K. Langley

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Abstract

Abstract Let f be a real meromorphic function of infinite order in the plane, with finitely many zeros and non-real poles. Then f″ has infinitely many non-real zeros.

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Abstract Let f be a real meromorphic function of infinite order in the plane, with finitely many zeros and non-real poles. Then f″ has infinitely many non-real zeros.

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OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Abstract Let f be a real meromorphic function of infinite order in the plane, with finitely many zeros and non-real poles. Then f″ has infinitely many non-real zeros.

Key concepts: Meromorphic function, Complex plane, Order (exchange), Mathematics, Function (biology), Plane (geometry), Pure mathematics, Pole–zero plot

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