To the Liouville theorem for entire functions of finite order

2020/08/30 by Б. Н. Хабибуллин, Bulat N. Khabibullin, Khabibullin, Bulat N.
Mathematics · #30D15 (Primary) 31A05 (Secondary) #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #math.CV #msc:30D15 #msc:31A05

paper · pdf · doi:10.48550/arxiv.2009.01019

4 pages, in Russian

arxiv created 2020/08/30 · openalex publication_date 2020/08/30 · arxiv updated 2020/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new, short and independent proof of the Liouville-type theorem for entire and subharmonic functions of finite order bounded outside some set of zero planar density.

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