Summary
It is shown that the spin-weighted spheroidal functions introduced by Teukolsky may be obtained by an elementary transformation from Heun's confluent function.
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Blandin, J., Pons, R. & Marcilhacy, G. General solution of Teukolsky’s equation. Lett. Nuovo Cimento 38, 561–567 (1983). https://doi.org/10.1007/BF02785992
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DOI: https://doi.org/10.1007/BF02785992