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The numerical computation of special functions by use of quadrature rules for saddle point integrals. II. Gamma functions, modified Bessel functions and parabolic cylinder functions. (English) Zbl 0436.65008
Math. Cent., Amst., Afd. Toegepaste Wiskd. TW 183/78, 53 P. (1978).
MSC:
65D20Computation of special functions, construction of tables
65D32Quadrature and cubature formulas (numerical methods)
41A60Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
33E99Other special functions
33C10Bessel and Airy functions, cylinder functions, 0 F 1
33B15Gamma, beta and polygamma functions
33-04Machine computation, programs (special functions)