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





http://functions.wolfram.com/07.27.03.an6n.01









  


  








Input Form





HypergeometricPFQ[{1/2, 1, 5/2}, {1, 4}, -z] == (32 (-8 - 3 z + 2 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (15 Pi z^3) + (32 Sqrt[1 + z] (-8 - 3 z + 2 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(15 Pi z^3) + (64 Sqrt[1 + z] (4 + z) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(15 Pi z^3) - (128 (-2 - z + z^2) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (15 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