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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=4 > For fixed z and a1=5/2, a2=5/2, a3=4, b1=2





http://functions.wolfram.com/07.27.03.au8k.01









  


  










Input Form





HypergeometricPFQ[{5/2, 5/2, 4}, {2, 3}, -z] == (8 (-1 + 12 z + z^2) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (27 Pi z (1 + z)^4) + (8 (-1 + 12 z + z^2) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (27 Pi z (1 + z)^(7/2)) + (4 (-25 - z) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (27 Pi z (1 + z)^3) + (4 (29 - 22 z - 3 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (27 Pi z (1 + z)^(7/2))










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