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





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









  


  








Input Form





HypergeometricPFQ[{-(3/2), -(3/2), -(1/2)}, {1, 1}, z] == -((8 (-25 + 4 z) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/(3 Pi^2)) + (8 Sqrt[1 - z] (-14 + z) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(3 Pi^2) + (8 (-25 + 4 z) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(3 Pi^2) - (4 Sqrt[1 - z] (-14 + z) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(3 Pi^2) - (4 (-17 + 9 z) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(3 Pi^2)








Standard Form





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MathML Form







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Rule Form





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





2007-05-02