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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=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=-3/2





http://functions.wolfram.com/07.27.03.1017.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {-(3/2), 5/2}, z] == (245 (-z)^(5/2) (35 Pi^2 - 2 Pi^2 z))/4096 - (Sqrt[1 - z] (-15435 - 14452680 z - 145685836 z^2 - 623550688 z^3 + 144457184 z^4))/(15728640 z) - (1/(1048576 (-z)^(3/2))) (7 (-147 + 12250 z + 392000 z^2 + 2352000 z^3 + 4045440 z^4 - 713472 z^5) Log[Sqrt[1 - z] + Sqrt[-z]]) - (735 (35 - 2 z) (-z)^(5/2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/2048 + (735 (35 - 2 z) (-z)^(5/2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/1024 + (735 (35 - 2 z) (-z)^(5/2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/1024 - (735 (35 - 2 z) (-z)^(5/2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/1024










Standard Form





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MathML Form







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</apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 5 <sep /> 2 </cn> </apply> <apply> <power /> <cn type='integer'> 1024 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 735 </cn> <apply> <plus /> <cn type='integer'> 35 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2 </cn> <ci> z </ci> </apply> </apply> </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> 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type='integer'> 623550688 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 145685836 </cn> <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'> 14452680 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> -15435 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 15728640 </cn> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 7 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> -713472 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4045440 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> 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Rule Form





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





2007-05-02