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The spin-weighted spheroidal eigenvalues and eigenfunctions arise in theseparation by variables of spin-field perturbations of Kerr black holes. Wederive a large, real-frequency asymptotic expansion of the spin-weightedspheroidal eigenvalues and eigenfunctions to high order. This expansioncorrects and extends existing results in the literature and we validate it viaa numerical calculation.

High-order asymptotics for the Spin-Weighted Spheroidal Equation at large real frequency