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Computation of inhomogeneous Airy functions. (English) Zbl 0813.65049

The inhomogeneous Airy functions: \[ Gi(x) = {1 \over \pi} \int^ \infty_ 0 \sin \left( xt + {1 \over 3} t^ 3 \right) dt, \quad Hi (x) = {1 \over \pi} \int^ \infty_ 0 \exp \left( xt - {1 \over 3} t^ 3 \right) dt \] are expanded into Chebyshev polynomial series with coefficients in precision of up to twenty decimal-places.

MSC:

65D20 Computation of special functions and constants, construction of tables
33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\)
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References:

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