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11: 7.24 Approximations
§7.24 Approximations
►§7.24(i) Approximations in Terms of Elementary Functions
… ►Cody (1969) provides minimax rational approximations for and . The maximum relative precision is about 20S.
Cody et al. (1970) gives minimax rational approximations to Dawson’s integral (maximum relative precision 20S–22S).
12: 26.10 Integer Partitions: Other Restrictions
13: 1.11 Zeros of Polynomials
14: 25.20 Approximations
§25.20 Approximations
►Cody et al. (1971) gives rational approximations for in the form of quotients of polynomials or quotients of Chebyshev series. The ranges covered are , , , . Precision is varied, with a maximum of 20S.
Piessens and Branders (1972) gives the coefficients of the Chebyshev-series expansions of and , , for (23D).
15: 6.20 Approximations
§6.20 Approximations
►§6.20(i) Approximations in Terms of Elementary Functions
… ►Cody and Thacher (1968) provides minimax rational approximations for , with accuracies up to 20S.
Cody and Thacher (1969) provides minimax rational approximations for , with accuracies up to 20S.
MacLeod (1996b) provides rational approximations for the sine and cosine integrals and for the auxiliary functions and , with accuracies up to 20S.
16: 36.5 Stokes Sets
17: Mathematical Introduction
complex plane (excluding infinity). | |
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least upper bound (supremum). | |
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or | half-closed intervals. |
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least limit point. | |
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