Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T06:04:47.417558Z
Paper Citation Record · LEDGER
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
As of 12 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 10 inbound Pith citation observations for arXiv:2411.19740.
A citation records a reference. It does not transfer a finding from one paper to another.
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One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T00:10:08.064690Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T02:09:22.369007Z
Reference resolution
40 of 40 outbound references displayed
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- unresolved27
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 492b8de6-f362-41e3-8d16-1f5ba698a8fe · outbound
This paper cites Hyperboloidal foliations and scri-fixing.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Hyperboloidal foliations and scri-fixing
Reference 1
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93a793f6-dde3-4aa9-bfbe-9585bacfb808 · outbound
This paper cites A geometric framework for black hole perturbations.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation A geometric framework for black hole perturbations
Reference 2
- Resolution
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Unavailable: canonical work link unavailable.
Observation 016cf185-8dc4-4d73-bc33-1d7b52f327bc · outbound
This paper cites Physical Review X 11(3), 031003 (2021).
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Physical Review X 11(3), 031003 (2021)
Reference 3
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 826e6a37-0cf2-4ef0-a74c-f80de4d6ca35 · outbound
This paper cites an unresolved cited work.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Unresolved cited work
Reference 4
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34396de1-b08f-4dfc-84ad-e829bcacf538 · outbound
This paper cites an unresolved cited work.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Unresolved cited work
Reference 5
- Resolution
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4688f801-acd5-4618-aca4-faeedc200122 · outbound
This paper cites Living Reviews in Relativity 2, 1–72 (1999).
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Living Reviews in Relativity 2, 1–72 (1999)
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T06:04:48.069217Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4275167d-6549-49fd-acdc-dc344016036e · outbound
This paper cites Classical and Quantum Gravity 16(12), 159 (1999) https://doi.org/10.1088/0264-9381/16/12/201.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Classical and Quantum Gravity 16(12), 159 (1999) https://doi.org/10.1088/0264-9381/16/12/201
Reference 7
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d935332-48ef-4e90-83e0-b6ee92c0d1c8 · outbound
This paper cites Classical and Quantum Gravity 26(16), 163001 (2009) https://doi.org/10.1088/0264-9381/26/16/163001.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Classical and Quantum Gravity 26(16), 163001 (2009) https://doi.org/10.1088/0264-9381/26/16/163001
Reference 8
- Resolution
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Observation d297fd74-836e-4b37-bc3a-8e3d8f543cea · outbound
This paper cites Re- views of Modern Physics83(3), 793–836 (2011) https://doi.org/10.1103/RevModPhys.83.793.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Re- views of Modern Physics83(3), 793–836 (2011) https://doi.org/10.1103/RevModPhys.83.793
Reference 9
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Observation ac52325c-8ede-4bb3-abbf-f50b349ec636 · outbound
This paper cites Oxford University Press, Oxford, England (1983).
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Oxford University Press, Oxford, England (1983)
Reference 10
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1a69011d-f61d-4e14-b8c6-e9c6b7ad89a1 · outbound
This paper cites (eds.) Black Hole Perturba- tion Theory and Gravitational Self-Force, pp.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation (eds.) Black Hole Perturba- tion Theory and Gravitational Self-Force, pp
Reference 11
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bb639cb1-92a5-4956-9cdc-1707e3b12cde · outbound
This paper cites A model problem for quasinormal ringdown on asymptotically flat or extremal black holes.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation A model problem for quasinormal ringdown on asymptotically flat or extremal black holes
Reference 12
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Observation 1e5a2e85-fb7a-435a-9e40-60bba4df9182 · outbound
This paper cites Quasinormal modes in extremal Reissner-Nordstr\"om spacetimes.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Quasinormal modes in extremal Reissner-Nordstr\"om spacetimes
Reference 13
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3706f97-f736-48ed-825d-aa91db2489dc · outbound
This paper cites an unresolved cited work.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Unresolved cited work
Reference 14
- Resolution
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c3077128-16d2-42bd-8340-9f666b1b90a4 · outbound
This paper cites Quasinormal Modes Beyond Kerr.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Quasinormal Modes Beyond Kerr
Reference 15
- Resolution
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Unavailable: canonical work link unavailable.
Observation cc508a75-2afb-44fc-922d-e3df7b6f4540 · outbound
This paper cites Conserved currents for Kerr and orthogonality of quasinormal modes.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Conserved currents for Kerr and orthogonality of quasinormal modes
Reference 16
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f1e2110-6a86-45c5-b022-0bec6ff0f8b3 · outbound
This paper cites an unresolved cited work.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Unresolved cited work
Reference 17
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7d5b3955-5ee7-43c2-9760-af3aa598646f · outbound
This paper cites Oxford University Press, ??? (1995).
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Oxford University Press, ??? (1995)
Reference 18
- Resolution
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Unavailable: canonical work link unavailable.
Observation 65b73223-314e-40be-a19e-2c8912573803 · outbound
This paper cites Physical Review Letters 29(16), 1114 (1972).
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Physical Review Letters 29(16), 1114 (1972)
Reference 19
- Resolution
- unresolved
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Unavailable: canonical work link unavailable.
Observation 0fe71a67-f54e-4c56-bf0b-b7732dc19123 · outbound
This paper cites an unresolved cited work.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Unresolved cited work
Reference 20
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e23a65fa-79c1-4e44-bdaa-a1c2b62c2147 · outbound
This paper cites III - Interaction of the hole with gravitational and electromagnet ic radiation.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation III - Interaction of the hole with gravitational and electromagnet ic radiation
Reference 21
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 538437c3-d441-40bc-aaf4-d5e5ad51b39d · outbound
This paper cites Lettere al Nuovo Cimento 37(8), 300 (1983).
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Lettere al Nuovo Cimento 37(8), 300 (1983)
Reference 22
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7f104cc2-a1c4-4294-be34-949777d597bf · outbound
This paper cites Lettere al Nuovo Cimento 38(17), 561 (1983).
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Lettere al Nuovo Cimento 38(17), 561 (1983)
Reference 23
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 338280af-9617-474b-82ae-e783ea091f4f · outbound
This paper cites an unresolved cited work.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Unresolved cited work
Reference 24
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30078940-5c9b-4b6f-9040-004a422d6e91 · outbound
This paper cites Heun Functions and Some of Their Applications in Physics.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Heun Functions and Some of Their Applications in Physics
Reference 25
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e3346cdd-9032-4910-83e3-937695341cf8 · outbound
This paper cites Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves
Reference 26
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5687cc27-c4d2-4465-97fc-40218bb56608 · outbound
This paper cites Spectroscopy of Kerr-AdS$_5$ spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Spectroscopy of Kerr-AdS$_5$ spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation
Reference 27
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36cbea7e-5920-48be-8d7e-5ed6bb88298b · outbound
This paper cites Bi-orthogonal harmonics for the decomposition of gravitational radiation I: angular modes, completeness, and the introduction of adjoint-spheroidal harmonics.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Bi-orthogonal harmonics for the decomposition of gravitational radiation I: angular modes, completeness, and the introduction of adjoint-spheroidal harmonics
Reference 28
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04303b3c-10b5-4ab6-ae86-d35073412d44 · outbound
This paper cites an unresolved cited work.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Unresolved cited work
Reference 29
- Resolution
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d2826e15-46da-4af3-805d-2d5609bfec92 · outbound
This paper cites Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime
Reference 30
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Unavailable: canonical work link unavailable.
Observation 7539b8ea-b5e9-4c43-a265-94ed909cb330 · outbound
This paper cites an unresolved cited work.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Unresolved cited work
Reference 31
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Observation 6a468d48-46e6-42fe-9b06-89bc88f14136 · outbound
This paper cites Fully pseudospectral solution of the conformally invariant wave equation on a Kerr background.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Fully pseudospectral solution of the conformally invariant wave equation on a Kerr background
Reference 32
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Observation b8f9bffe-9363-48ca-96a2-6f9b324233d3 · outbound
This paper cites Proceedings of the Royal Society of London.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Proceedings of the Royal Society of London
Reference 33
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0c9d7ac5-ec39-4489-acd7-5c16ef00c1b2 · outbound
This paper cites Journal of Geometry and Physics24(2), 83–163 (1998) https://doi.org/10.1016/S0393-0440(97)82168-7 26.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Journal of Geometry and Physics24(2), 83–163 (1998) https://doi.org/10.1016/S0393-0440(97)82168-7 26
Reference 34
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f47eba1f-2532-4e73-999d-6aa8c86d5597 · outbound
This paper cites Conformal geodesics on vacuum space-times.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Conformal geodesics on vacuum space-times
Reference 35
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e2ab763b-2841-49d4-ab3b-bcbcbc8b9176 · outbound
This paper cites Hyperboloidal framework for the Kerr spacetime.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Hyperboloidal framework for the Kerr spacetime
Reference 36
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Unavailable: canonical work link unavailable.
Observation fdf49933-4030-4846-8cad-0d23b72fde9d · outbound
This paper cites an unresolved cited work.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Unresolved cited work
Reference 37
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Observation 06569147-d92b-4c1f-889a-a32cd5ae4529 · outbound
This paper cites Chicago Univ.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Chicago Univ
Reference 38
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e8a0e29-052a-4850-8e1d-5409cd4906e3 · outbound
This paper cites Proceedings of the Royal Society of London Series A 402(1823), 285–298 (1985) https://doi.org/10.1098/rspa.1985.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation Proceedings of the Royal Society of London Series A 402(1823), 285–298 (1985) https://doi.org/10.1098/rspa.1985
Reference 39
- Resolution
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Unavailable: canonical work link unavailable.
Observation 48a3f089-fa01-4bfe-9136-aeba4dd11a06 · outbound
This paper cites An asymptotic framework for gravitational scattering.
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation An asymptotic framework for gravitational scattering
Reference 40
- Resolution
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Pith citing papers
Observation 37ee70bd-310c-483b-9e89-256a21c5733d · inbound
Exact low-temperature Green's functions in AdS/CFT: From Heun to confluent Heun cites this paper.
Exact low-temperature Green's functions in AdS/CFT: From Heun to confluent Heun The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
Reference 35
- Resolution
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Observation 67213da0-3638-4e10-a1ea-fb5895a0dd7f · inbound
Topical Collection-Hyperboloidal Foliations in the Era of Gravitational-Wave Astronomy: From Mathematical Relativity to Astrophysics cites this paper.
Topical Collection-Hyperboloidal Foliations in the Era of Gravitational-Wave Astronomy: From Mathematical Relativity to Astrophysics The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
Reference 7
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Observation b810774b-1f52-4fbd-817e-644f6c3b6cfc · inbound
Evaporation of Primordial Black Holes in a Thermal Universe: A Thermofield Dynamics Approach cites this paper.
Evaporation of Primordial Black Holes in a Thermal Universe: A Thermofield Dynamics Approach The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
Reference 75
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Source-reported events for the cited work
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Observation 60d8506f-85c0-4984-bffe-05af7b81771b · inbound
Bilinear products and the orthogonality of quasinormal modes on hyperboloidal foliations cites this paper.
Bilinear products and the orthogonality of quasinormal modes on hyperboloidal foliations The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
Reference 63
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3fe7512e-6180-4759-936c-6008c208059e · inbound
Pole structure of the Kerr Green's function cites this paper.
Pole structure of the Kerr Green's function The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
Reference 54
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Observation 2321a7f2-7293-4715-ba29-51f68f46edbb · inbound
Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework cites this paper.
Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
Reference 92
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 485bee2b-ca30-4d61-9880-472987c23a02 · inbound
Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework cites this paper.
Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
Reference 92
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 32457bd8-425c-47d1-bfcf-854469e44bd2 · inbound
Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework cites this paper.
Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
Reference 92
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6f1f9fd6-908a-46e2-9b65-318ff23f1ca3 · inbound
Properties of natural polynomials for Schwarzschild and Kerr black holes cites this paper.
Properties of natural polynomials for Schwarzschild and Kerr black holes The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
Reference 51
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2e1681b9-3677-4809-a59f-88350c5ce937 · inbound
Exact Solution of the Non-minimally Coupled Klein-Gordon Equation in the Schwarzschild Star cites this paper.
Exact Solution of the Non-minimally Coupled Klein-Gordon Equation in the Schwarzschild Star The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
Reference 37
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T02:09:22.370336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.