Mellin%E2%80%93Barnes%20integrals
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11—20 of 477 matching pages
11: Richard B. Paris
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► Wood), published by Longman Scientific and Technical in 1986, and Asymptotics and Mellin-Barnes Integrals (with D.
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12: 8.6 Integral Representations
§8.6 Integral Representations
►§8.6(i) Integrals Along the Real Line
… ►§8.6(ii) Contour Integrals
… ►Mellin–Barnes Integrals
… ►§8.6(iii) Compendia
…13: 2.6 Distributional Methods
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§2.6(i) Divergent Integrals
►Consider the integral … ► being the Mellin transform of or its analytic continuation (§2.5(ii)). … ►§2.6(iii) Fractional Integrals
… ►where is the Mellin transform of or its analytic continuation. …14: Bibliography P
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Asymptotics and Mellin-Barnes Integrals.
Cambridge University Press, Cambridge.
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Smoothing of the Stokes phenomenon using Mellin-Barnes integrals.
J. Comput. Appl. Math. 41 (1-2), pp. 117–133.
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Automatic computation of Bessel function integrals.
Comput. Phys. Comm. 25 (3), pp. 289–295.
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Stacking models of vesicles and compact clusters.
J. Statist. Phys. 80 (3–4), pp. 755–779.
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Elliptic integrals.
Computers in Physics 4 (1), pp. 92–96.
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15: 20.10 Integrals
§20.10 Integrals
►§20.10(i) Mellin Transforms with respect to the Lattice Parameter
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20.10.1
,
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20.10.2
,
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►For further integrals of theta functions see Erdélyi et al. (1954a, pp. 61–62 and 339), Prudnikov et al. (1990, pp. 356–358), Prudnikov et al. (1992a, §3.41), and Gradshteyn and Ryzhik (2000, pp. 627–628).
16: 10.32 Integral Representations
§10.32 Integral Representations
… ►Basset’s Integral
… ►§10.32(ii) Contour Integrals
… ►Mellin–Barnes Type
… ►Mellin–Barnes Type
…17: 36.2 Catastrophes and Canonical Integrals
§36.2 Catastrophes and Canonical Integrals
►§36.2(i) Definitions
… ►Canonical Integrals
… ► … ►§36.2(iii) Symmetries
…18: 16.15 Integral Representations and Integrals
§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).
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19: 15.6 Integral Representations
§15.6 Integral Representations
►The function (not ) has the following integral representations: ►
15.6.1
; .
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►Note that (15.6.8) can be rewritten as a fractional integral.
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