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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=-5/2





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









  


  










Input Form





HypergeometricPFQ[{-(1/2), -(1/2), 5/2}, {-(5/2), 1}, z] == (2 (-81 + 225 z - 200 z^2 + 64 z^3) EllipticE[z])/(45 Pi (-1 + z)^3) - (8 (9 - 18 z + 8 z^2) EllipticK[z])/(45 Pi (-1 + 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