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





http://functions.wolfram.com/07.27.03.aj2a.01









  


  










Input Form





HypergeometricPFQ[{-(1/2), -(1/2), 7/2}, {-(5/2), 3}, z] == (32 (-21 - 7 z + 151 z^2 - 192 z^3 + 64 z^4) EllipticE[z])/ (1125 Pi (-1 + z)^2 z^2) - (16 (42 + 35 z - 136 z^2 + 64 z^3) EllipticK[z])/(1125 Pi (-1 + z) 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