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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=-7/2, a2>=-7/2 > For fixed z and a1=-7/2, a2=-5/2, a3>=-5/2 > For fixed z and a1=-7/2, a2=-5/2, a3=3 > For fixed z and a1=-7/2, a2=-5/2, a3=3, b1=1





http://functions.wolfram.com/07.27.03.3210.01









  


  








Input Form





HypergeometricPFQ[{-(7/2), -(5/2), 3}, {1, 1}, -z] == ((3326 - 50969 z + 53916 z^2 - 1485 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(420 Pi) + (Sqrt[1 + z] (3326 - 50969 z + 53916 z^2 - 1485 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(420 Pi) + (Sqrt[1 + z] (840 - 23503 z + 61458 z^2 - 23895 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(210 Pi z) + ((-840 + 20177 z - 10489 z^2 - 30021 z^3 + 1485 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(210 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