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





http://functions.wolfram.com/07.27.03.1203.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(3/2)}, {3, 3}, z] == (1/(1188616275 Pi^2 z^2)) (512 (-34183 - 3017023 z + 131881085 z^2 - 131881085 z^3 + 3017023 z^4 + 34183 z^5) EllipticE[1/2 - Sqrt[1 - z]/2]^ 2) - (1/(1188616275 Pi^2 z^2)) (512 Sqrt[1 - z] (-27253 - 2288390 z + 72324645 z^2 - 59556440 z^3 + 728633 z^4 + 6930 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(1188616275 Pi^2 z^2)) (512 (-34183 - 3017023 z + 131881085 z^2 - 131881085 z^3 + 3017023 z^4 + 34183 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(1188616275 Pi^2 z^2)) (256 Sqrt[1 - z] (-27253 - 2288390 z + 72324645 z^2 - 59556440 z^3 + 728633 z^4 + 6930 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(1188616275 Pi^2 z^2)) (256 (-27253 - 2276496 z + 91859392 z^2 - 121025972 z^3 + 20263380 z^4 + 18824 z^5) 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