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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=7/2, a3>=7/2 > For fixed z and a1=7/2, a2=7/2, a3=4 > For fixed z and a1=7/2, a2=7/2, a3=4, b1=2





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









  


  








Input Form





HypergeometricPFQ[{7/2, 7/2, 4}, {2, 4}, -z] == (4 (-3 + 82 z - 43 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (75 Pi z (1 + z)^5) + (4 (-3 + 82 z - 43 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (75 Pi z (1 + z)^(9/2)) + (32 (-9 + 7 z) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (75 Pi z (1 + z)^4) + (8 (39 - 74 z + 15 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (75 Pi z (1 + z)^(9/2))








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