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





http://functions.wolfram.com/07.27.03.1205.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(3/2)}, {7/2, 7/2}, z] == (1225 (Pi^2 + 96 Pi^2 z + 3600 Pi^2 z^2 - 25600 Pi^2 z^3 + 9600 Pi^2 z^4))/ (536870912 (-z)^(5/2)) + (1/(3221225472 z^2)) (Sqrt[1 - z] (-278565 - 18803750 z + 2468729336 z^2 - 2559979536 z^3 + 76653824 z^4 + 779776 z^5)) + (1/(1073741824 (-z)^(5/2))) (35 (1813 + 96768 z + 4032000 z^2 + 10752000 z^3 - 15456000 z^4 + 258048 z^5 + 2048 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) - (3675 (1 + 96 z + 3600 z^2 - 25600 z^3 + 9600 z^4) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(268435456 (-z)^(5/2)) + (1/(134217728 (-z)^(5/2))) (3675 (1 + 96 z + 3600 z^2 - 25600 z^3 + 9600 z^4) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]]) + (3675 (1 + 96 z + 3600 z^2 - 25600 z^3 + 9600 z^4) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(134217728 (-z)^(5/2)) - (3675 (1 + 96 z + 3600 z^2 - 25600 z^3 + 9600 z^4) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(134217728 (-z)^(5/2))










Standard Form





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MathML Form







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type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 1073741824 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 35 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 2048 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 258048 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 15456000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 10752000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> 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Rule Form





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





2007-05-02