Presented here are tables of values of X <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</inf> and λ <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</inf> , quantities defined by the eigenvalue problems <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">(1-x²)ψₙ - 2xψₙ + (xₙ - c²x²)ψₙ =0</tex> and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">λ-n ψₙ (x) = ∫₋₁¹ sin c(x-y) π(x-y) ψ-n(y) dy.</tex> In addition, some approximations for these quantities are given and evaluated.
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David Slepian and Estelle Sonnenblick (1965) studied this question.