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





http://functions.wolfram.com/07.27.03.ail4.01









  


  








Input Form





HypergeometricPFQ[{-(1/2), -(1/2), 1/2}, {1/2, 4}, z] == (32 (8 - 47 z + 142 z^2 + 281 z^3) EllipticE[z])/(3675 Pi z^3) + (32 (-8 + 51 z - 165 z^2 + 17 z^3 + 105 z^4) EllipticK[z])/(3675 Pi z^3)








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