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31—38 of 38 matching pages
31: 2.5 Mellin Transform Methods
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►If and can be continued analytically to meromorphic functions in a left half-plane, and if the contour can be translated to with , then
…Similarly, if and can be continued analytically to meromorphic functions in a right half-plane, and if the vertical line of integration can be translated to the right, then we obtain an asymptotic expansion for for large values of .
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►We now apply (2.5.5) with , and then translate the integration contour to the right.
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32: Bibliography C
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Calcolo delle funzioni speciali , , , , alle alte precisioni.
Atti Accad. Sci. Lett. Arti Palermo Ser. (5) 2(1981/82) (1), pp. 7–25 (Italian).
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The Numerical Treatment of Differential Equations.
3rd edition, Die Grundlehren der Mathematischen Wissenschaften, Vol. 60, Springer, Berlin.
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Advanced Combinatorics: The Art of Finite and Infinite Expansions.
enlarged edition, D. Reidel Publishing Co., Dordrecht.
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33: 1.14 Integral Transforms
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Translation
…34: 20.7 Identities
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35: Bibliography H
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Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains.
Translations of Mathematical Monographs, Vol. 6, American Mathematical Society, Providence, RI.
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36: 22.3 Graphics
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37: Bibliography D
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Theta functions and non-linear equations.
Uspekhi Mat. Nauk 36 (2(218)), pp. 11–80 (Russian).
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38: 18.2 General Orthogonal Polynomials
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►, commutes with translation in the variable and is a nonzero constant.
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