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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=-3/2, a3>=-3/2 > For fixed z and a1=-7/2, a2=-3/2, a3=3/2 > For fixed z and a1=-7/2, a2=-3/2, a3=3/2, b1=3/2





http://functions.wolfram.com/07.27.03.4012.01









  


  








Input Form





HypergeometricPFQ[{-(7/2), -(3/2), 3/2}, {3/2, 2}, -z] == (4 (-7 + 397 z - 591 z^2 + 31 z^3 + 2 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(315 Pi z) + (4 Sqrt[1 + z] (-7 + 397 z - 591 z^2 + 31 z^3 + 2 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(315 Pi z) + (8 Sqrt[1 + z] (161 - 573 z + 291 z^2 + z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(315 Pi z) - (16 (77 - 88 z - 150 z^2 + 16 z^3 + z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(315 Pi z)








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