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formula in Some integrals

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \index{Bailey's integral} \frac{1}{2\cpi \iunit}\int_{-\iunit\infty}^{\iunit\infty} \frac{\EulerGamma@{1+a/2+s}\EulerGamma@{a+s}\EulerGamma@{b+s}\EulerGamma@{c+s}\EulerGamma@{d+s}\EulerGamma@{b-a-s}\EulerGamma@{-s}} {\EulerGamma@{a/2+s}\EulerGamma@{1+a-c+s}\EulerGamma@{1+a-d+s}}\,ds {}=\frac{\EulerGamma@{b}\EulerGamma@{c}\EulerGamma@{d}\EulerGamma@{b+c-a}\EulerGamma@{b+d-a}} {2\,\EulerGamma@{1+a-c-d}\EulerGamma@{b+c+d-a}} }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \pi}}  : ratio of a circle's circumference to its diameter : http://dlmf.nist.gov/5.19.E4
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \int}}  : integral : http://dlmf.nist.gov/1.4#iv
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \Gamma}}  : Euler's gamma function : http://dlmf.nist.gov/5.2#E1

Bibliography

Equation in Section 1.6 of KLS.

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formula in Some integrals

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