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





http://functions.wolfram.com/07.27.03.a9d9.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(3/2), 7/2}, {3/2, 2}, -z] == (4 (-3 + 762 z - 1763 z^2 + 80 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(525 Pi z) + (4 Sqrt[1 + z] (-3 + 762 z - 1763 z^2 + 80 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(525 Pi z) + (64 Sqrt[1 + z] (33 - 183 z + 110 z^2) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(525 Pi z) - (8 (261 - 702 z - 883 z^2 + 80 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(525 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