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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=5/2 > For fixed z and a1=-1/2, a2=-1/2, a3=5/2, b1=1/2





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









  


  








Input Form





HypergeometricPFQ[{-(1/2), -(1/2), 5/2}, {1/2, 2}, -z] == (4 (1 + 38 z) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (27 Pi z) + (4 Sqrt[1 + z] (1 + 38 z) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(27 Pi z) - (112 (1 + z) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (27 Pi z) - (8 Sqrt[1 + z] (-13 + 24 z) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(27 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