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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





http://functions.wolfram.com/07.27.03.1040.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {3, 3}, z] == -((1/(39224337075 Pi^2 z^2)) (512 (415135 + 58710540 z - 5079129952 z^2 + 13672026374 z^3 - 3658024236 z^4 + 66172408 z^5) EllipticE[1/2 - Sqrt[1 - z]/2]^2)) + (1/(39224337075 Pi^2 z^2)) (512 Sqrt[1 - z] (334285 + 45322480 z - 2908541952 z^2 + 6756194036 z^3 - 1535176372 z^4 + 21741720 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(39224337075 Pi^2 z^2)) (512 (415135 + 58710540 z - 5079129952 z^2 + 13672026374 z^3 - 3658024236 z^4 + 66172408 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(39224337075 Pi^2 z^2)) (256 Sqrt[1 - z] (-334285 - 45322480 z + 2908541952 z^2 - 6756194036 z^3 + 1535176372 z^4 - 21741720 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(39224337075 Pi^2 z^2)) (256 (-334285 - 45175550 z + 3540743732 z^2 - 10663225112 z^3 + 4946434652 z^4 - 462741584 z^5 + 4002075 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2)










Standard Form





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MathML Form







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type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 45322480 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> -334285 </cn> </apply> <apply> <power /> <apply> <ci> EllipticK </ci> <apply> <plus /> <cn type='rational'> 1 <sep /> 2 </cn> <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> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 39224337075 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 256 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 4002075 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 462741584 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 4946434652 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 10663225112 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 3540743732 </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'> 45175550 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 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Rule Form





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





2007-05-02