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The analytic solution of Teukolsky equation in Kerr-de Sitter andKerr-Newman-de Sitter geometries is presented and the properties of thesolution are examined. In particular, we show that our solution satisfies theTeukolsky-Starobinsky identities explicitly and fix the relative normalizationbetween solutions with the spin weight $s$ and $-s$.Comment: 24 pages, LaTe

Analytic Solutions of the Teukolsky Equation in Kerr-de Sitter and Kerr-Newman-de Sitter Geometries