for Padé approximations
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11—13 of 13 matching pages
11: 33.23 Methods of Computation
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►Thompson and Barnett (1985, 1986) and Thompson (2004) use combinations of series, continued fractions, and Padé-accelerated asymptotic expansions (§3.11(iv)) for the analytic continuations of Coulomb functions.
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§33.23(vii) WKBJ Approximations
►WKBJ approximations (§2.7(iii)) for are presented in Hull and Breit (1959) and Seaton and Peach (1962: in Eq. …Seaton (1984) estimates the accuracies of these approximations. ►Hull and Breit (1959) and Barnett (1981b) give WKBJ approximations for and in the region inside the turning point: .12: Bibliography W
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Asymptotic approximations for certain - and - symbols.
J. Phys. A 32 (39), pp. 6901–6902.
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Rational approximations for the modified Bessel function of the second kind.
Comput. Phys. Comm. 59 (3), pp. 471–493.
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Asymptotic Approximations to Truncation Errors of Series Representations for Special Functions.
In Algorithms for Approximation, A. Iske and J. Levesley (Eds.),
pp. 331–348.
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Some explicit Padé approximants for the function and a related quadrature formula involving Bessel functions.
SIAM J. Math. Anal. 16 (4), pp. 887–895.
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Upon systems of recursions which obtain among the quotients of the Padé table.
Numer. Math. 8 (3), pp. 264–269.
13: Bibliography
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Efficient approximation of the Struve functions occurring in the calculation of sound radiation quantities.
The Journal of the Acoustical Society of America 140 (6), pp. 4154–4160.
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Shanks’ convergence acceleration transform, Padé approximants and partitions.
J. Combin. Theory Ser. A 43 (1), pp. 70–84.
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Rational function approximations for Fermi-Dirac integrals.
The Astrophysical Journal Supplement Series 84, pp. 101–108.
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