Mellin%20transforms
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11: 8.6 Integral Representations
12: 16.15 Integral Representations and Integrals
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16.15.1
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16.15.2
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►For these and other formulas, including double Mellin–Barnes integrals, see Erdélyi et al. (1953a, §5.8).
…For inverse Laplace transforms of Appell functions see Prudnikov et al. (1992b, §3.40).
13: Bibliography S
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Transformations of the Jacobian amplitude function and its calculation via the arithmetic-geometric mean.
SIAM J. Math. Anal. 20 (6), pp. 1514–1528.
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Numerical evaluation of spherical Bessel transforms via fast Fourier transforms.
J. Comput. Phys. 100 (2), pp. 294–296.
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Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
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Asymptotic expansions of Mellin transforms and analogues of Watson’s lemma.
SIAM J. Math. Anal. 16 (4), pp. 896–906.
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Asymptotic expansion of Mellin transforms in the complex plane.
Int. J. Pure Appl. Math. 71 (3), pp. 465–480.
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14: 13.10 Integrals
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§13.10(ii) Laplace Transforms
… ►§13.10(iii) Mellin Transforms
… ►For additional Mellin transforms see Erdélyi et al. (1954a, §§6.9, 7.5), Marichev (1983, pp. 283–287), and Oberhettinger (1974, §§1.13, 2.8). ►§13.10(iv) Fourier Transforms
… ►§13.10(v) Hankel Transforms
…15: 2.3 Integrals of a Real Variable
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►Assume that the Laplace transform
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►where is the Mellin transform of (§2.5(i)).
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►The integral (2.3.24) transforms into
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§2.3(vi) Asymptotics of Mellin Transforms
►For the asymptotics of the Mellin transform as see Frenzen (1987b), Sidi (1985, 2011).16: 15.6 Integral Representations
17: 7.7 Integral Representations
18: 9.10 Integrals
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§9.10(v) Laplace Transforms
… ►For Laplace transforms of products of Airy functions see Shawagfeh (1992). ►§9.10(vi) Mellin Transform
… ►§9.10(vii) Stieltjes Transforms
… ►§9.10(ix) Compendia
…19: 18.17 Integrals
20: 14.17 Integrals
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