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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=1





http://functions.wolfram.com/07.27.03.1632.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 3/2}, {1, 2}, z] == (16 (1225 + 407816 z + 2072304 z^2 + 1583495 z^3 + 165232 z^4) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/(99225 Pi^2 z) + (1/(99225 Pi^2 z)) (16 (-1225 - 407816 z - 2072304 z^2 - 1583495 z^3 - 165232 z^4) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(99225 Pi^2 z)) (16 Sqrt[1 - z] (-1225 - 216996 z - 880308 z^2 - 534512 z^3 - 40320 z^4) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(99225 Pi^2 z)) (8 Sqrt[1 - z] (1225 + 216996 z + 880308 z^2 + 534512 z^3 + 40320 z^4) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (8 (1225 + 265996 z + 1269090 z^2 + 927704 z^3 + 92696 z^4) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(99225 Pi^2 z)










Standard Form





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MathML Form







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type='integer'> 880308 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 216996 </cn> <ci> z </ci> </apply> <cn type='integer'> 1225 </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> <power /> <apply> <times /> <cn type='integer'> 99225 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 8 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 92696 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 927704 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1269090 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 265996 </cn> <ci> z </ci> </apply> <cn type='integer'> 1225 </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 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Rule Form





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





2007-05-02