Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces

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dc.creatorBirkandan, T.
dc.creatorHortacsu, M.
dc.date2006-07-25
dc.date2007-01-23
dc.date.accessioned2026-07-07T10:40:57Z
dc.date.available2026-07-07T10:40:57Z
dc.descriptionWe give examples where the Heun function exists in general relativity. It turns out that while a wave equation written in the background of certain metric yields Mathieu functions as its solutions in four space-time dimensions, the trivial generalization to five dimensions results in the double confluent Heun function. We reduce this solution to the Mathieu function with some transformations.
dc.description18 pages, Minor improvements, references added
dc.identifierhttps://arxiv.org/abs/gr-qc/0607108
dc.identifierhttp://arxiv.org/abs/gr-qc/0607108
dc.identifierJ.Phys.A40:1105-1116,2007; J.Phys.A40:11203,2007
dc.identifierdoi:10.1088/1751-8113/40/5/016 10.1088/1751-8121/40/36/C01
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181485
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleExamples of Heun and Mathieu functions as solutions of wave equations in curved spaces
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