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





http://functions.wolfram.com/07.27.03.ari5.01









  


  








Input Form





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








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