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1: 31.17 Physical Applications

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§31.17(ii) Other Applications

►Heun functions appear in the theory of black holes (Kerr (1963), Teukolsky (1972), Chandrasekhar (1984), Suzuki et al. (1998), Kalnins et al. (2000)), lattice systems in statistical mechanics (Joyce (1973, 1994)), dislocation theory (Lay and Slavyanov (1999)), and solution of the Schrödinger equation of quantum mechanics (Bay et al. (1997), Tolstikhin and Matsuzawa (2001), and Hall et al. (2010)). …

2: Bibliography T

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Rotating black holes: Separable wave equations for gravitational and electromagnetic perturbations. Phys. Rev. Lett. 29 (16), pp. 1114–1118.

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§31.17(ii).

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3: Bibliography C

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The Mathematical Theory of Black Holes. In General Relativity and Gravitation (Padova, 1983), pp. 5–26.

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MathReview Entry

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§31.17(ii).

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Quasinormal modes of the extremal BTZ black hole. Classical Quantum Gravity 21 (12), pp. 2801–2809.

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ISSN 0264-9381, MathReview (Donato Bini), ZentralBlatt

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§13.28(iii).

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4: Bibliography K

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Special Functions and Perturbations of Black Holes. In Special Functions (Hong Kong, 1999), pp. 140–151.

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MathReview, ZentralBlatt

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§31.17(ii).

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5: Bibliography B

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Quasinormal ringing of Kerr black holes: The excitation factors. Phys. Rev. D 74 (104020), pp. 1–27.

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ISSN 0556-2821, Document, MathReview

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6: Bibliography S

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Perturbations of Kerr-de Sitter black holes and Heun’s equations. Progr. Theoret. Phys. 100 (3), pp. 491–505.

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ISSN 0033-068X, FullText, MathReview (Volker Perlick)

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§31.17(ii).

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