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





http://functions.wolfram.com/07.27.03.0148.01









  


  










Input Form





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





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