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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=-7/2, a2>=-7/2 > For fixed z and a1=-7/2, a2=7/2, a3>=7/2 > For fixed z and a1=-7/2, a2=7/2, a3=4 > For fixed z and a1=-7/2, a2=7/2, a3=4, b1=1





http://functions.wolfram.com/07.27.03.9772.01









  


  








Input Form





HypergeometricPFQ[{-(7/2), 7/2, 4}, {1, 3}, -z] == ((2127 + 23648 z + 59008 z^2 + 39936 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(315 Pi) + (Sqrt[1 + z] (2127 + 23648 z + 59008 z^2 + 39936 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(315 Pi) + (4 Sqrt[1 + z] (315 + 4692 z + 13504 z^2 + 9984 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(315 Pi z) + (2 (-630 - 11511 z - 50656 z^2 - 78976 z^3 - 39936 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(315 Pi 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