The confluent Heun functions in black hole perturbation theory: a spacetime interpretation
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DOI: 10.1007/s10714-025-03364-7
Abstract: This work provides a spacetime interpretation of the confluent Heun functions within black hole perturbation theory (BHPT) and explores their relationship to the hyperboloidal framework. In BHPT, the confluent Heun functions are solutions to the… read more here.
Keywords: confluent heun; heun functions; black hole; spacetime interpretation ... See more keywords
Heun functions and diagonals of rational functions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab67e5
Abstract: We provide a set of diagonals of simple rational functions of three and four variables that are squares of Heun functions. These Heun functions obtained through creative telescoping, turn out to be either pullbacked $_2F_1$… read more here.
Keywords: functions diagonals; rational functions; heun functions; functions heun ... See more keywords
Magnetic Localization of an Electron on a Spherocylindrical Nanotube: Analytical Solution via Heun Functions
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DOI: 10.1142/s0219887826500696
Abstract: We present an analytical study of the quantum behavior of a spinless electron confined to the surface of a spherocylindrical nanotube under the influence of a uniform magnetic field aligned with the tube’s axis. By… read more here.
Keywords: magnetic localization; spherocylindrical nanotube; heun functions; geometry ... See more keywords