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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=-1/2, a3>=-1/2 > For fixed z and a1=-7/2, a2=-1/2, a3=1/2 > For fixed z and a1=-7/2, a2=-1/2, a3=1/2, b1=7/2





http://functions.wolfram.com/07.27.03.4842.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(1/2), 1/2}, {7/2, 7/2}, z] == (175 (Pi^2 + 24 Pi^2 z + 120 Pi^2 z^2))/(524288 (-z)^(5/2)) + (Sqrt[1 - z] (-32235 - 440930 z + 1308032 z^2 + 40704 z^3 - 2624 z^4 + 128 z^5))/(3145728 z^2) - (35 (-187 - 1128 z - 600 z^2 - 6400 z^3) Log[Sqrt[1 - z] + Sqrt[-z]])/(1048576 (-z)^(5/2)) - (525 (1 + 24 z + 120 z^2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/ (262144 (-z)^(5/2)) + (525 (1 + 24 z + 120 z^2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (131072 (-z)^(5/2)) + (525 (1 + 24 z + 120 z^2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(131072 (-z)^(5/2)) - (525 (1 + 24 z + 120 z^2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (131072 (-z)^(5/2))










Standard Form





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MathML Form







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1308032 </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'> 440930 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> -32235 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 3145728 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 525 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 120 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 24 </cn> <ci> z </ci> </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> 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Rule Form





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





2007-05-02