The Heun Functions and Their Applications 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 nonrotating black holes and highlight some recent results on their late-time ring-down obtained using those functions.

Heun Polynomials and Exact Solutions for the Massless Dirac Particle in theC-Metric

“…allowing elimination of ε in favor of the others. The General Heun Equation and its confluent versions (together known as the Heun class of equations) are too important for their frequent appearance in different branches of theoretical physics [9][10][11][12], among which, the field of general relativity is worth special mention [13][14][15][16][17][18][19][20][21]. Yet, the process of finding analytical solutions (both local and global) to them is not straightforward.…”