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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=1/2, a3>=1/2 > For fixed z and a1=-5/2, a2=1/2, a3=7/2 > For fixed z and a1=-5/2, a2=1/2, a3=7/2, b1=1





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









  


  








Input Form





HypergeometricPFQ[{-(5/2), 1/2, 7/2}, {1, 5/2}, -z] == (4 (13 + 18 z + 8 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (15 Pi) + (4 Sqrt[1 + z] (13 + 18 z + 8 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(15 Pi) + (4 Sqrt[1 + z] (15 + 17 z + 8 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(15 Pi z) + (4 (-15 - 43 z - 44 z^2 - 16 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(15 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