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





http://functions.wolfram.com/07.27.03.abp6.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), 3/2, 3/2}, {-(1/2), 2}, -z] == (4 (-45 + 118 z - 832 z^2 - 1152 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(105 Pi z) + (4 Sqrt[1 + z] (-45 + 118 z - 832 z^2 - 1152 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(105 Pi z) - (8 Sqrt[1 + z] (-75 + 344 z + 576 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(105 Pi z) + (16 (-15 + 113 z + 704 z^2 + 576 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(105 Pi z)










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