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





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









  


  








Input Form





HypergeometricPFQ[{-(3/2), -(3/2), 1/2}, {-(1/2), 1}, -z] == (2 (5 + 13 z) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3 Pi) + (2 Sqrt[1 + z] (5 + 13 z) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(3 Pi) + (4 (-3 - 10 z - 7 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (3 Pi z) + (4 Sqrt[1 + z] (3 + 5 z - 6 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(3 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