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





http://functions.wolfram.com/07.27.03.aix3.01









  


  








Input Form





HypergeometricPFQ[{-(1/2), -(1/2), 5/2}, {1/2, 3}, -z] == (32 (-3 + 7 z + 107 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(675 Pi z^2) + (32 Sqrt[1 + z] (-3 + 7 z + 107 z^2) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(675 Pi z^2) - (32 (-3 + 91 z + 94 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(675 Pi z^2) - (32 Sqrt[1 + z] (-3 - 77 z + 120 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(675 Pi z^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