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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=-3/2, a3>=-3/2 > For fixed z and a1=-5/2, a2=-3/2, a3=-1/2 > For fixed z and a1=-5/2, a2=-3/2, a3=-1/2, b1=-7/2





http://functions.wolfram.com/07.27.03.a8p8.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(3/2), -(1/2)}, {-(7/2), 4}, -z] == -((32 (104 + 667 z + 2322 z^2 - 6677 z^3 + 140 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(77175 Pi z^3)) - (32 Sqrt[1 + z] (104 + 667 z + 2322 z^2 - 6677 z^3 + 140 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(77175 Pi z^3) - (64 Sqrt[1 + z] (-52 - 327 z - 5946 z^2 + 2905 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(77175 Pi z^3) + (256 (13 + 85 z - 906 z^2 - 943 z^3 + 35 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(77175 Pi z^3)










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