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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=3, a3>=3 > For fixed z and a1=-1/2, a2=3, a3=7/2 > For fixed z and a1=-1/2, a2=3, a3=7/2, b1=1





http://functions.wolfram.com/07.27.03.alu8.01









  


  








Input Form





HypergeometricPFQ[{-(1/2), 3, 7/2}, {1, 3}, -z] == (4 (19 + 44 z + 24 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (15 Pi (1 + z)^2) + (4 (19 + 44 z + 24 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (15 Pi (1 + z)^(3/2)) + (4 (-15 - 64 z - 48 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(15 Pi z (1 + z)) + (4 (15 + 41 z + 24 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(15 Pi z (1 + z)^(3/2))








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