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





http://functions.wolfram.com/07.27.03.asq8.01









  


  








Input Form





HypergeometricPFQ[{3/2, 7/2, 7/2}, {3, 3}, z] == (512 (5 - 6 z + 4 z^2) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/ (225 Pi^2 (-1 + z)^2 z^2) + (512 Sqrt[1 - z] (3 - 7 z + z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (225 Pi^2 (-1 + z)^3 z^2) - (512 (5 - 6 z + 4 z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(225 Pi^2 (-1 + z)^2 z^2) + (256 (-3 + 2 z) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(225 Pi^2 (-1 + z) z^2) - (256 Sqrt[1 - z] (3 - 7 z + z^2) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/ (225 Pi^2 (-1 + z)^3 z^2)








Standard Form





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MathML Form







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</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'> 225 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 3 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02