Oscillation of higher-order linear differential equations with entire coefficients

Abstract

This article is devoted to studying the solutions to the differential equation $$ f^{(k)}+A_{k-1}(z)f^{(k-1)}+dots +A_0(z)f=0,quad kge 2, $$ where coefficients $A_j(z)$ are entire functions of integer order. We obtain estimates on the orders and the hyper orders of the solutions to the above equation.

Keywords

• Linear differential equation
• order
• hyper order