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Presented here are tables of values of X n and λ n, quantities defined by the eigenvalue problems (1-x²) ₙ - 2xₙ + (xₙ - c²x²) ₙ =0 and -n ₙ (x) = -₁¹ sin c (x-y) (x-y) -n (y) dy. In addition, some approximations for these quantities are given and evaluated.
David Slepian and Estelle Sonnenblick (Fri,) studied this question.