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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=3





http://functions.wolfram.com/07.27.03.1902.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 5/2}, {3, 3}, z] == (1/(3565848825 Pi^2 z^2)) (512 (-789845 + 13060425 z + 335389286 z^2 + 693238127 z^3 + 289517136 z^4 + 19031200 z^5) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(3565848825 Pi^2 z^2)) (512 Sqrt[1 - z] (-547295 + 9315670 z + 159272646 z^2 + 269975996 z^3 + 91375160 z^4 + 4435200 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(3565848825 Pi^2 z^2)) (512 (-789845 + 13060425 z + 335389286 z^2 + 693238127 z^3 + 289517136 z^4 + 19031200 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(3565848825 Pi^2 z^2)) (256 Sqrt[1 - z] (-547295 + 9315670 z + 159272646 z^2 + 269975996 z^3 + 91375160 z^4 + 4435200 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(3565848825 Pi^2 z^2)) (256 (-547295 + 9528680 z + 211275016 z^2 + 416852918 z^3 + 167885233 z^4 + 10624400 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2)










Standard Form





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MathML Form







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type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 9315670 </cn> <ci> z </ci> </apply> <cn type='integer'> -547295 </cn> </apply> <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> <apply> <ci> EllipticE </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 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type='integer'> 269975996 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 159272646 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 9315670 </cn> <ci> z </ci> </apply> <cn type='integer'> -547295 </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 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Rule Form





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





2007-05-02