**Heun equation** is a second order linear ordinary differential equation of Fuchsian type with 4 regular singular points at $0,1,a,\infty$. Its normalized holomorphic solution is the Heun function. If some of the singular points coalesce we talk about the confluent Heun equation.

- wikipedia Heun function

An application of monodromy analysis of Heun equation (coming from separation of variables) to the physics of black holes:

- F. Novaes, Bruno Carneiro da Cunha,
*Isomonodromy, Painlevé transcendents and scattering off of black holes*, J. High Energ. Phys. 2014, 132 (2014) doi arXiv:1404.5188 - Bruno Carneiro da Cunha, João Paulo Cavalcante,
*Confluent conformal blocks and the Teukolsky master equation*, Phys. Rev. D 102, 105013 (2020) doi arXiv:1906.10638;*Teukolsky master equation and Painlevé transcendents: numerics and extremal limit*, arXiv:2105.08790

Created on September 20, 2022 at 18:54:39. See the history of this page for a list of all contributions to it.