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





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









  


  








Input Form





HypergeometricPFQ[{1/2, 1/2, 2}, {1, 3}, -z] == -((8 (-4 + z) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (9 Pi z^2)) - (8 (-4 + z) Sqrt[1 + z] EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(9 Pi z^2) - (32 (1 + z) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (9 Pi z^2) + (16 Sqrt[1 + z] (-2 + 3 z) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(9 Pi z^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