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math-ph2020★ 12 cited
Elementary Integral Series for Heun Functions. With an Application to Black-Hole Perturbation Theory
P. -L. Giscard, A. Tamar
Heun differential equations are the most general second order Fuchsian equations with four regular singularities. An explicit integral series representation of Heun functions invol…
gr-qc2020
On Challenges to Separability of the Dirac Equation in Kerr Geometry under Compact Hyperboloidal Coordinates
Aditya Tamar
The Dirac equation governs the behaviour of spin-1/2 particles. The equation's separability into decoupled radial and angular differential equations is a crucial step in analytical…