Formula:5897

Digital Library of Mathematical Functions ID 16.4.E6

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \genhyperF{3}{2}@@{a,b,c}{\frac{1}{2}(a+b+1),2c}{1}=\frac{\EulerGamma@{\frac{1}{2}}\EulerGamma@{c+\frac{1}{2}}\EulerGamma@{\frac{1}{2}(a+b+1)}\EulerGamma@{c+\frac{1}{2}(1-a-b)}}{\EulerGamma@{\frac{1}{2}(a+1)}\EulerGamma@{\frac{1}{2}(b+1)}\EulerGamma@{c+\frac{1}{2}(1-a)}\EulerGamma@{c+\frac{1}{2}(1-b)}},}

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}$: alternatively F q p ( a ; b ; z ) or F q p ( a b ; z ) generalized hypergeometric function
• ${\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}$: real or complex parameters
• ${\displaystyle{\displaystyle b,b_{1},\ldots,b_{q}}}$: real or complex parameters
 

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