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31—40 of 74 matching pages
31: Bibliography
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Arb: A C Library for Arbitrary Precision Ball Arithmetic.
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Center for Algorithms and Interactive Scientific Software.
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32: 8.21 Generalized Sine and Cosine Integrals
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33: Mathematical Introduction
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►This process greatly extended normal editorial checking procedures.
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34: 2.5 Mellin Transform Methods
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►Hence we can extend the definition of the Mellin transform of by setting
…The extended transform has the same properties as in the half-plane .
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►Since is analytic for by Table 2.5.1, the analytically-continued allows us to extend the Mellin transform of via
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►The Mellin transform method can also be extended to derive asymptotic expansions of multidimensional integrals having algebraic or logarithmic singularities, or both; see Wong (1989, Chapter 3), Paris and Kaminski (2001, Chapter 7), and McClure and Wong (1987).
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35: 4.26 Integrals
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►The results in §§4.26(ii) and 4.26(iv) can be extended to the complex plane by using continuous branches and avoiding singularities.
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36: 6.2 Definitions and Interrelations
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37: 7.12 Asymptotic Expansions
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38: 8.18 Asymptotic Expansions of
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8.18.3
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39: 11.6 Asymptotic Expansions
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