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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=-5/2, a2>=-5/2 > For fixed z and a1=-5/2, a2=5/2, a3>=5/2 > For fixed z and a1=-5/2, a2=5/2, a3=5/2 > For fixed z and a1=-5/2, a2=5/2, a3=5/2, b1=-5/2





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









  


  










Input Form





HypergeometricPFQ[{-(5/2), 5/2, 5/2}, {-(5/2), 4}, -z] == -((32 (8 + 7 z) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (3 Pi z^3 (1 + z))) - (32 (8 + 7 z) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (3 Pi z^3 Sqrt[1 + z]) + (256 EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3 Pi z^3) + (64 (4 + 3 z) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (3 Pi z^3 Sqrt[1 + z])










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