Barnes’ integral
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11—20 of 24 matching pages
11: 24.7 Integral Representations
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Mellin–Barnes Integral
…12: 16.15 Integral Representations and Integrals
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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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13: 16.17 Definition
14: 5.17 Barnes’ -Function (Double Gamma Function)
15: 13.4 Integral Representations
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§13.4(iii) Mellin–Barnes Integrals
…16: 11.5 Integral Representations
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Mellin–Barnes Integrals
…17: 8.19 Generalized Exponential Integral
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8.19.4
, .
►Integral representations of Mellin–Barnes type for follow immediately from (8.6.11), (8.6.12), and (8.19.1).
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18: 15.6 Integral Representations
§15.6 Integral Representations
… ►19: Errata
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Paragraph Mellin–Barnes Integrals (in §8.6(ii))
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The descriptions for the paths of integration of the Mellin-Barnes integrals (8.6.10)–(8.6.12) have been updated. The description for (8.6.11) now states that the path of integration is to the right of all poles. Previously it stated incorrectly that the path of integration had to separate the poles of the gamma function from the pole at . The paths of integration for (8.6.10) and (8.6.12) have been clarified. In the case of (8.6.10), it separates the poles of the gamma function from the pole at for . In the case of (8.6.12), it separates the poles of the gamma function from the poles at .
Reported 2017-07-10 by Kurt Fischer.
20: 10.32 Integral Representations
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