Hypergeometric2F1[-(18/5), 2, 7/5, -z] == (1/(31250 z^(2/5))) (24230 z^(2/5) + 87840 z^(7/5) + 98865 z^(12/5) + 35880 z^(17/5) - 936 (1 + z)^3 (3 + 23 z) Log[1 + z^(1/5)] + 936 (-1)^(3/5) (1 + z)^3 (3 + 23 z) Log[1 - (-1)^(1/5) z^(1/5)] + 2808 (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)] + 29952 (-1)^(1/5) z Log[1 + (-1)^(2/5) z^(1/5)] + 73008 (-1)^(1/5) z^2 Log[1 + (-1)^(2/5) z^(1/5)] + 67392 (-1)^(1/5) z^3 Log[1 + (-1)^(2/5) z^(1/5)] + 21528 (-1)^(1/5) z^4 Log[1 + (-1)^(2/5) z^(1/5)] - 2808 (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)] - 29952 (-1)^(4/5) z Log[1 - (-1)^(3/5) z^(1/5)] - 73008 (-1)^(4/5) z^2 Log[1 - (-1)^(3/5) z^(1/5)] - 67392 (-1)^(4/5) z^3 Log[1 - (-1)^(3/5) z^(1/5)] - 21528 (-1)^(4/5) z^4 Log[1 - (-1)^(3/5) z^(1/5)] - 2808 (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)] - 29952 (-1)^(2/5) z Log[1 + (-1)^(4/5) z^(1/5)] - 73008 (-1)^(2/5) z^2 Log[1 + (-1)^(4/5) z^(1/5)] - 67392 (-1)^(2/5) z^3 Log[1 + (-1)^(4/5) z^(1/5)] - 21528 (-1)^(2/5) z^4 Log[1 + (-1)^(4/5) z^(1/5)])

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</mo> <mo> ( </mo> <mrow> <mn> 1 </mn> <mo> - </mo> <mrow> <mroot> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mn> 5 </mn> </mroot> <mo> &#8290; </mo> <mroot> <mi> z </mi> <mn> 5 </mn> </mroot> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 2808 </mn> <mo> &#8290; </mo> <mroot> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mn> 5 </mn> </mroot> <mo> &#8290; </mo> <mrow> <mi> log </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mrow> <msup> <mrow> <mo> ( </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mrow> <mn> 2 </mn> <mo> / </mo> <mn> 5 </mn> </mrow> </msup> <mo> &#8290; </mo> <mroot> <mi> z </mi> <mn> 5 </mn> </mroot> </mrow> <mo> + </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 2808 </mn> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mrow> <mn> 4 </mn> <mo> / </mo> <mn> 5 </mn> </mrow> </msup> <mo> &#8290; </mo> <mrow> <mi> log </mi> <mo> &#8289; </mo> 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<ci> HypergeometricPFQ </ci> <list> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 18 <sep /> 5 </cn> </apply> <cn type='integer'> 2 </cn> </list> <list> <cn type='rational'> 7 <sep /> 5 </cn> </list> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 31250 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 2 <sep /> 5 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 21528 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 5 </cn> </apply> <apply> <ln /> <apply> <plus /> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 2 <sep /> 5 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 5 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> 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type='rational'> 4 <sep /> 5 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 5 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 35880 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 17 <sep /> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 67392 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 5 </cn> </apply> <apply> <ln /> <apply> <plus /> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 2 <sep /> 5 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 5 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 67392 </cn> 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type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 3 <sep /> 5 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 5 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 73008 </cn> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 2 <sep /> 5 </cn> </apply> <apply> <ln /> <apply> <plus /> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 4 <sep /> 5 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 5 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 87840 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 7 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2007-05-02