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arXiv · 1905.12288

Non-real zeros of linear differential polynomials in real meromorphic functions

J. K. Langley
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Abstract

It is shown that if $f$ or $1/f$ is a real entire function of infinite order of growth, with only real zeros, then $f''+\omega f$ has infinitely many non-real zeros for any $\omega > 0$.

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J. K. Langley. 2019-05-29. Non-real zeros of linear differential polynomials in real meromorphic functions. https://arxiv.org/abs/1905.12288

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