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

T. Birkandan·M. Hortacsu
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Abstract

We 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.

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T. Birkandan, M. Hortacsu. 2007-01-23. Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces. https://doi.org/10.1088/1751-8113%2F40%2F5%2F016%2010.1088%2F1751-8121%2F40%2F36%2Fc01

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