paper

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

arXiv:2206.08650 · doi:10.1090/proc/16317

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.

arXiv comment5 pages; minor revision of v1