exponentially-improved expansions
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11: 10.40 Asymptotic Expansions for Large Argument
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§10.40(iv) Exponentially-Improved Expansions
…12: 9.7 Asymptotic Expansions
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§9.7(v) Exponentially-Improved Expansions
…13: 7.20 Mathematical Applications
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►The complementary error function also plays a ubiquitous role in constructing exponentially-improved asymptotic expansions and providing a smooth interpretation of the Stokes phenomenon; see §§2.11(iii) and 2.11(iv).
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14: 10.17 Asymptotic Expansions for Large Argument
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§10.17(v) Exponentially-Improved Expansions
…15: 5.11 Asymptotic Expansions
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§5.11(ii) Error Bounds and Exponential Improvement
…16: 10.74 Methods of Computation
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►Furthermore, the attainable accuracy can be increased substantially by use of the exponentially-improved expansions given in §10.17(v), even more so by application of the hyperasymptotic expansions to be found in the references in that subsection.
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17: 8.12 Uniform Asymptotic Expansions for Large Parameter
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►The last reference also includes an exponentially-improved version (§2.11(iii)) of the expansions (8.12.4) and (8.12.7) for .
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18: Bibliography O
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Uniform, exponentially improved, asymptotic expansions for the generalized exponential integral.
SIAM J. Math. Anal. 22 (5), pp. 1460–1474.
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Uniform, exponentially improved, asymptotic expansions for the confluent hypergeometric function and other integral transforms.
SIAM J. Math. Anal. 22 (5), pp. 1475–1489.
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19: 9.17 Methods of Computation
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►However, in the case of and this accuracy can be increased considerably by use of the exponentially-improved forms of expansion supplied in §9.7(v).
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20: 12.9 Asymptotic Expansions for Large Variable
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