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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=-3/2, a3>=-3/2 > For fixed z and a1=-7/2, a2=-3/2, a3=-3/2 > For fixed z and a1=-7/2, a2=-3/2, a3=-3/2, b1=1





http://functions.wolfram.com/07.27.03.3583.01









  


  








Input Form





HypergeometricPFQ[{-(7/2), -(3/2), -(3/2)}, {1, 1}, z] == -((8 (-40892 + 114158 z - 513 z^2 + 12 z^3) EllipticE[1/2 - Sqrt[1 - z]/2]^ 2)/(3675 Pi^2)) - (8 Sqrt[1 - z] (24932 - 52380 z + 3 z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (3675 Pi^2) + (8 (-40892 + 114158 z - 513 z^2 + 12 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/ (3675 Pi^2) + (4 Sqrt[1 - z] (24932 - 52380 z + 3 z^2) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(3675 Pi^2) - (4 (-28607 + 90256 z - 16335 z^2 + 6 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/ (3675 Pi^2)








Standard Form





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MathML Form







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</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'> 3675 </cn> <apply> <power /> <pi /> <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