The Heun functions and their applications in astrophysics

TL;DR

This paper explores the application of Heun functions in astrophysics, specifically in modeling black hole perturbations and analyzing late-time ring-down phenomena.

Contribution

It demonstrates the use of Heun functions in solving black hole perturbation problems and presents recent results on black hole ring-down analysis.

Findings

Heun functions effectively model black hole perturbations.

Recent results show improved understanding of late-time ring-down.

Heun functions provide new analytical tools in astrophysics.

Abstract

The Heun functions are often called the hypergemeotry successors of the 21st century, because of the wide number of their applications. In this proceeding we discuss their application to the problem of perturbations of rotating and non-rotating black holes and highlight some recent results on their late-time ring-down obtained using those functions.