Growth of Solutions of Second Order Complex Linear Differential Equations

TL;DR

This paper investigates the growth behavior of solutions to second order complex linear differential equations, focusing on their order and hyper order under specific coefficient restrictions involving advanced value distribution concepts.

Contribution

It introduces new growth estimates for solutions based on restrictions involving Yang's inequality, Borel exceptional values, deficient values, and accumulation rays.

Findings

Derived bounds on the order of solutions.

Established relationships between coefficient restrictions and solution growth.

Extended existing theories with new growth criteria.

Abstract

We study about order of growth and hyper order of growth of non trivial solutions of second order linear differential equations, having restrictions in the coefficients. These restrictions involve notions of Yang's inequality, Borel exceptional value, deficient value and accumulation ray.