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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=-5/2, a2>=-5/2 > For fixed z and a1=-5/2, a2=-5/2, a3>=-5/2 > For fixed z and a1=-5/2, a2=-5/2, a3=1/2 > For fixed z and a1=-5/2, a2=-5/2, a3=1/2, b1=-3/2





http://functions.wolfram.com/07.27.03.a7x0.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(5/2), 1/2}, {-(3/2), 3}, -z] == (32 (-175 - 1475 z + 4014 z^2 + 3049 z^3 + 3239 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(59535 Pi z^2) + (32 Sqrt[1 + z] (-175 - 1475 z + 4014 z^2 + 3049 z^3 + 3239 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(59535 Pi z^2) - (32 Sqrt[1 + z] (-175 - 8895 z - 2841 z^2 - 2609 z^3 + 2520 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(59535 Pi z^2) - (32 (-175 + 5945 z + 10869 z^2 + 8707 z^3 + 3958 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(59535 Pi 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