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http://functions.wolfram.com/07.32.03.0141.01
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HypergeometricPFQRegularized[{1/2, 1/2, 1, d, d, 1 - d, 1 - d},
{3/2, 3/2, 1 + d, 1 + d, 2 - d, 2 - d}, 1] ==
((4 Sin[d Pi]^2)/((-1 + d)^2 d^2 (-1 + 2 d)^5 Pi^3))
((-1 + d)^2 d^2 Pi Csc[d Pi]^2 (-2 Pi + 4 d Pi -
(-1 + 2 d) Pi Cos[2 d Pi] + 3 Sin[2 d Pi])) /; d != 1/2
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <semantics> <mrow> <mrow> <msub> <mo>   </mo> <mn> 7 </mn> </msub> <msub> <mover> <mi> F </mi> <mo> ~ </mo> </mover> <mn> 6 </mn> </msub> </mrow> <mo> ⁡ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> <mo> , </mo> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> <mo> , </mo> <mn> 1 </mn> <mo> , </mo> <mi> d </mi> <mo> , </mo> <mi> d </mi> <mo> , </mo> <mrow> <mn> 1 </mn> <mo> - </mo> <mi> d </mi> </mrow> <mo> , </mo> <mrow> <mn> 1 </mn> <mo> - </mo> <mi> d </mi> </mrow> </mrow> <mo> ; </mo> <mrow> <mfrac> <mn> 3 </mn> <mn> 2 </mn> </mfrac> <mo> , </mo> <mfrac> <mn> 3 </mn> <mn> 2 </mn> </mfrac> <mo> , </mo> <mrow> <mi> d </mi> <mo> + </mo> <mn> 1 </mn> </mrow> <mo> , </mo> <mrow> <mi> d </mi> <mo> + </mo> <mn> 1 </mn> </mrow> <mo> , </mo> <mrow> <mn> 2 </mn> <mo> - </mo> <mi> d </mi> </mrow> <mo> , </mo> <mrow> <mn> 2 </mn> <mo> - </mo> <mi> d </mi> </mrow> </mrow> <mo> ; 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Date Added to functions.wolfram.com (modification date)
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