Growth of Solutions of Complex Differential Equations with Entire Coefficients having a Multiply-Connected Fatou Component
Complex Variables
2021-11-30 v1
Abstract
In this study, we show that all non-trivial solutions of have infinite order, provided that the entire coefficient has certain restrictions and has multiply-connected Fatou component. We also extend these results to higher order linear differential equations.
Keywords
Cite
@article{arxiv.2111.14374,
title = {Growth of Solutions of Complex Differential Equations with Entire Coefficients having a Multiply-Connected Fatou Component},
author = {Naveen Mehra and Garima Pant and S. K. Chanyal},
journal= {arXiv preprint arXiv:2111.14374},
year = {2021}
}