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





http://functions.wolfram.com/07.27.03.0738.01









  


  










Input Form





HypergeometricPFQ[{5/2, 5/2, 5/2}, {1, 1}, z] == (2/(3 Pi^2 (-1 + z)^6)) (-4 (-1 + z) (19 + 67 z + 19 z^2) EllipticE[(1 - Sqrt[1 - z])/2]^2 + 4 (-19 - 48 z + 48 z^2 + 19 z^3 + Sqrt[1 - z] (-7 + 26 z + 74 z^2 + 12 z^3)) EllipticE[(1 - Sqrt[1 - z])/2] EllipticK[(1 - Sqrt[1 - z])/2] + 2 (10 + 2 z - 31 z^2 + 16 z^3 + 3 z^4 + Sqrt[1 - z] (7 - 26 z - 74 z^2 - 12 z^3)) EllipticK[(1 - Sqrt[1 - z])/2]^ 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)





2001-10-29