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





http://functions.wolfram.com/07.27.03.0169.01









  


  










Input Form





HypergeometricPFQ[{-(1/2), 1/2, 3/2}, {3, 3}, z] == (256/(675 Pi^2 z^2)) (2 (101 + 82 z + 6 z^2) EllipticE[(1 - Sqrt[1 - z])/2]^ 2 - 2 (101 + 82 z + 6 z^2 + Sqrt[1 - z] (71 + 36 z)) EllipticE[(1 - Sqrt[1 - z])/2] EllipticK[(1 - Sqrt[1 - z])/2] + (71 + 8 z + 3 z^2 + Sqrt[1 - z] (71 + 36 z)) EllipticK[(1 - Sqrt[1 - z])/2]^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)





2001-10-29