A question of Gol’dberg and Ostrovskii concerning linear differential equations with coefficients of completely regular growth

Author:

Bergweiler Walter

Abstract

We show that a linear differential equation whose coefficients are entire functions of completely regular growth may have an entire solution of finite order which is not of completely regular growth. This answers a question of Gol′dberg and Ostrovskii.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. Boundedness of the 𝑙-index and the completely regular growth of entire functions;Bandura, A. Ī.;Ukra\"{\i}n. Mat. Zh.,2020

2. On the sum of entire functions of completely regular growth;Gol′dberg, A. A.;Dokl. Akad. Nauk Ukrain. SSR Ser. A,1982

3. The sum of entire functions of completely regular growth;Gol′dberg, A. A.;Izv. Akad. Nauk Armyan. SSR Ser. Mat.,1983

4. The growth of entire Hermitian-positive functions of finite order;Gol′dberg, A. A.;Dokl. Akad. Nauk Ukrain. SSR Ser. A,1981

5. Translations of Mathematical Monographs;Goldberg, Anatoly A.,2008

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