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

2019/05/29 by J. K. Langley, Langley, J. K.
Mathematics · #30D35 #Complex Variables (math.CV) #Differential Equations and Numerical Methods #FOS: Mathematics #Holomorphic and Operator Theory #Mathematics and Applications #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1905.12288

openalex publication_date 2019/05/29 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

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

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