M. Nardin, W. F. Perger, and A. Bhalla (1992a)Algorithm 707: CONHYP: A numerical evaluator of the confluent hypergeometric function for complex arguments of large magnitudes.
ACM Trans. Math. Software18 (3), pp. 345–349.
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Notes:
Double-precision Fortran, minimum accuracy 9S,
maximum accuracy 13S.
T. Yoshida (1995)Computation of Kummer functions for large argument by using the -method.
Trans. Inform. Process. Soc. Japan36 (10), pp. 2335–2342 (Japanese).
ⓘ
Notes:
Japanese with English summary. Double-precision Fortran.
…
►In the case of the normalized binary interchange formats, the representation of data for binary32 (previously single precision) (, , , ), binary64 (previously doubleprecision) (, , , ) and binary128 (previously quad precision) (, , , ) are as in Figure 3.1.1.
…
►Figure 3.1.1: Floating-point arithmetic.
Representation of data in the binary interchange formats for binary32, binary64 and binary128 (previously single, double and quad precision).
…
Z. Gong, L. Zejda, W. Dappen, and J. M. Aparicio (2001)Generalized Fermi-Dirac functions and derivatives: Properties and evaluation.
Comput. Phys. Comm.136 (3), pp. 294–309.
M. R. Zaghloul (2016)Remark on “Algorithm 916: computing the Faddeyeva and Voigt functions”: efficiency improvements and Fortran translation.
ACM Trans. Math. Softw.42 (3), pp. 26:1–26:9.
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Notes:
Includes MATLAB and Fortran programs claiming 6S or 13S accuracy for single and doubleprecision
S. Zhang and J. Jin (1996)Computation of Special Functions.
John Wiley & Sons Inc., New York.
ⓘ
Notes:
Includes diskette containing
a large collection of mathematical function software written in Fortran.
Implementation in doubleprecision. Maximum accuracy 16S.
…
►Noble (2004) obtains double-precision accuracy for for a wide range of parameters using a combination of recurrence techniques, power-series expansions, and numerical quadrature; compare (33.2.7).
…
The “Freely Distributable LIBM” package provides implementations of standard
elementary functions plus a few higher functions, e.g. gamma.
Doubleprecision, maximum accuracy 20S.
Developed by Sun Microsystems.
I. J. Thompson and A. R. Barnett (1985)COULCC: A continued-fraction algorithm for Coulomb functions of complex order with complex arguments.
Comput. Phys. Comm.36 (4), pp. 363–372.
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Notes:
Double-precision Fortran, minimum accuracy: 14D. See also
Thompson (2004)
I. J. Thompson and A. R. Barnett (1987)Modified Bessel functions and of real order and complex argument, to selected accuracy.
Comput. Phys. Comm.47 (2-3), pp. 245–257.
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Notes:
For erratum see same journal 159 (2004), no. 3, p. 243.
Double-precision Fortran, accuracy 24S, but can be increased.
A. R. Barnett (1982)COULFG: Coulomb and Bessel functions and their derivatives, for real arguments, by Steed’s method.
Comput. Phys. Comm.27, pp. 147–166.
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Notes:
Double-precision Fortran code for positive energies. Maximum
accuracy: 31S.