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





http://functions.wolfram.com/07.27.03.0607.01









  


  










Input Form





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