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





http://functions.wolfram.com/07.27.03.9004.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), 5/2, 7/2}, {-(1/2), 2}, -z] == (1/(315 Pi z (1 + z))) (4 (-7 + 474 z - 16448 z^2 - 148736 z^3 - 294912 z^4 - 163840 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (1/(315 Pi z Sqrt[1 + z])) (4 (-7 + 474 z - 16448 z^2 - 148736 z^3 - 294912 z^4 - 163840 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) + (16 (-77 + 2272 z + 36480 z^2 + 106496 z^3 + 81920 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(315 Pi z) - (8 (-161 + 4864 z + 61056 z^2 + 137216 z^3 + 81920 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (315 Pi z Sqrt[1 + z])










Standard Form





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MathML Form







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</apply> </apply> <cn type='integer'> -1 </cn> </apply> </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