Growth of solutions to linear differential equations with entire coefficients of slow growth

Abstract

In this article, we investigate the hyper order of solutions of higher-order linear differential equations with entire coefficients of slow growth. We assume that the lower order of the dominant coefficient in the high-order linear equations is less than 1/2, and obtain some results which extend the results in [6,13,14,19].

Keywords

• Linear differential equations
• hyper order, hyper lower order