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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/07.27.03.2263.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 4}, {2, 2}, -z] == ((-280 + 111283 z - 897975 z^2 + 1011865 z^3 - 148453 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(17010 Pi z) + (1/(17010 Pi z)) (Sqrt[1 + z] (-280 + 111283 z - 897975 z^2 + 1011865 z^3 - 148453 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) + (8 (-4235 + 44077 z - 21831 z^2 - 57217 z^3 + 12926 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(8505 Pi z) + (1/(8505 Pi z)) (Sqrt[1 + z] (34160 - 463899 z + 1072623 z^2 - 554129 z^3 + 45045 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])










Standard Form





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MathML Form







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<pi /> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02