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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=-5/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=1/2





http://functions.wolfram.com/07.27.03.1101.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(5/2)}, {1/2, 5/2}, z] == (3675 Sqrt[-z] (5 Pi^2 - 20 Pi^2 z + 4 Pi^2 z^2))/65536 - (Sqrt[1 - z] (-735 - 4047794 z + 74888904 z^2 - 43432976 z^3 + 401536 z^4))/ (4194304 z) - (105 (-7 + 1400 z - 112000 z^2 - 403200 z^3 + 249984 z^4 - 1024 z^5) Log[Sqrt[1 - z] + Sqrt[-z]])/(4194304 (-z)^(3/2)) - (11025 Sqrt[-z] (5 - 20 z + 4 z^2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/32768 + (11025 Sqrt[-z] (5 - 20 z + 4 z^2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/16384 + (11025 Sqrt[-z] (5 - 20 z + 4 z^2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ 16384 - (11025 Sqrt[-z] (5 - 20 z + 4 z^2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/16384










Standard Form





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MathML Form







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</cn> <ci> z </ci> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <ln /> <apply> <plus /> <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> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <power /> <cn type='integer'> 16384 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 3675 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 4 </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 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Rule Form





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





2007-05-02