The confluent Heun functions in black hole perturbation theory: a spacetime interpretation
Sign Up to like & getrecommendations! Published in 2024 at "General Relativity and Gravitation"
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
A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125037
Abstract: We review the series solutions of the general and single-confluent Heun equations in terms of powers, ordinary-hypergeometric and confluent-hypergeometric functions. The conditions under which the expansions reduce to finite sums as well as the cases… read more here.
Keywords: generalized hypergeometric; confluent heun; confluent; general single ... See more keywords
Evolutionary dynamics and eigenspectrum of confluent Heun equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ababb4
Abstract: We consider a biological population evolving under the joint action of selection, mutation and random genetic drift. The evolutionary dynamics are described by a one-dimensional Fokker-Planck equation whose eigenfunctions obey a confluent Heun equation. These… read more here.
Keywords: equation; evolutionary dynamics; confluent heun; eigenspectrum confluent ... See more keywords