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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=1





http://functions.wolfram.com/07.27.03.4008.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(3/2), 3/2}, {1, 4}, z] == (1/(14189175 Pi^2 z^3)) (128 (2240 - 24290 z + 115290 z^2 + 4974742 z^3 + 4673987 z^4 + 136728 z^5 - 6912 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) + (1/(14189175 Pi^2 z^3)) (128 Sqrt[1 - z] (-2240 + 23730 z - 109620 z^2 - 2256712 z^3 - 1543635 z^4 - 1728 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(14189175 Pi^2 z^3)) (128 (-2240 + 24290 z - 115290 z^2 - 4974742 z^3 - 4673987 z^4 - 136728 z^5 + 6912 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(14189175 Pi^2 z^3)) (64 Sqrt[1 - z] (2240 - 23730 z + 109620 z^2 + 2256712 z^3 + 1543635 z^4 + 1728 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(14189175 Pi^2 z^3)) (64 (2240 - 24850 z + 121275 z^2 + 3090832 z^3 + 2726959 z^4 + 68580 z^5 - 3456 z^6) EllipticK[1/2 - 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)





2007-05-02