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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=-7/2, a2>=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3>=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-1/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=5/2





http://functions.wolfram.com/07.27.03.1301.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(1/2)}, {5/2, 5/2}, z] == (147 (-Pi^2 - 100 Pi^2 z + 800 Pi^2 z^2))/(2097152 (-z)^(3/2)) - (Sqrt[1 - z] (66885 - 20476010 z + 10288536 z^2 + 1262808 z^3 + 43136 z^4))/ (26214400 z) - (21 (427 + 33250 z + 112000 z^2 - 56000 z^3 - 5600 z^4 - 128 z^5) Log[Sqrt[1 - z] + Sqrt[-z]])/(5242880 (-z)^(3/2)) - (441 (-1 - 100 z + 800 z^2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/ (1048576 (-z)^(3/2)) + (441 (-1 - 100 z + 800 z^2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (524288 (-z)^(3/2)) + (441 (-1 - 100 z + 800 z^2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(524288 (-z)^(3/2)) - (441 (-1 - 100 z + 800 z^2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (524288 (-z)^(3/2))










Standard Form





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MathML Form







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type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 147 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 800 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 100 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2097152 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 43136 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1262808 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 10288536 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 20476010 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 66885 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 26214400 </cn> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 441 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type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 441 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 100 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> -1 </cn> </apply> <apply> <ci> PolyLog </ci> <cn type='integer'> 2 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> 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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02