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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/07.27.03.1868.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 5/2}, {1/2, 4}, -z] == -((1/(57972915 Pi z^3)) (32 (4200 + 16695 z - 93310 z^2 - 13631966 z^3 + 116694504 z^4 - 106442801 z^5 + 12275030 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])) - (1/(57972915 Pi z^3)) (32 Sqrt[1 + z] (4200 + 16695 z - 93310 z^2 - 13631966 z^3 + 116694504 z^4 - 106442801 z^5 + 12275030 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) + (1/(57972915 Pi z^3)) (64 Sqrt[1 + z] (2100 + 8085 z + 3575740 z^2 - 61385778 z^3 + 125953608 z^4 - 54425755 z^5 + 3603600 z^6) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) + (1/(57972915 Pi z^3)) (128 (1050 + 4305 z - 1834525 z^2 + 23876906 z^3 - 4629552 z^4 - 26008523 z^5 + 4335715 z^6) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])










Standard Form





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MathML Form







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<ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 8085 </cn> <ci> z </ci> </apply> <cn type='integer'> 2100 </cn> </apply> <apply> <ci> EllipticK </ci> <apply> <times /> <apply> <power /> <apply> <plus /> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <power /> <apply> <plus /> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 57972915 </cn> <pi /> <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