# Growth of Solutions of Complex Differential Equations in a Sector of the Unit Disc

## TL;DR

This paper investigates the growth behavior of solutions to homogeneous linear complex differential equations within a sector of the unit disc, utilizing generalized growth measures like lower p,q-order and type, extending previous results from the entire disc.

## Contribution

It introduces the analysis of solution growth in a sector of the unit disc using lower p,q-order and type, expanding the scope beyond the whole unit disc.

## Key findings

- Established growth estimates for solutions in a sector
- Extended classical results to sectorial domains
- Demonstrated the applicability of lower p,q-order and type

## Abstract

In this paper, we deal with the growth of solutions of homogeneous linear complex differential equation by using the concept of lower [\textit{p,q}]-order and lower [\textit{p,q}]-type in a sector of the unit disc instead of the whole unit disc, and we obtain similar results as in the case of the unit disc.