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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=5/2, a3>=5/2 > For fixed z and a1=3/2, a2=5/2, a3=5/2 > For fixed z and a1=3/2, a2=5/2, a3=5/2, b1=1





http://functions.wolfram.com/07.27.03.as56.01









  


  








Input Form





HypergeometricPFQ[{3/2, 5/2, 5/2}, {1, 3/2}, -z] == -((16 (-1 + z) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (3 Pi (1 + z)^4)) - (16 (-1 + z) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (3 Pi (1 + z)^(7/2)) + (4 (-3 + 5 z) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (3 Pi z (1 + z)^3) + (4 (3 - 10 z + 3 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (3 Pi z (1 + z)^(7/2))








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