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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=-5/2 > For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=4





http://functions.wolfram.com/07.27.03.1118.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(5/2)}, {4, 4}, z] == -((1/(9575096505975 Pi^2 z^3)) (2048 (3026110 + 282445585 z + 8929586920 z^2 - 251637151954 z^3 + 264868363052 z^4 - 24656435044 z^5 + 41520930 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2)) + (1/(9575096505975 Pi^2 z^3)) (2048 Sqrt[1 - z] (2425510 + 213119600 z + 6590849820 z^2 - 136399948714 z^3 + 122706554176 z^4 - 9436144080 z^5 + 7432425 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(9575096505975 Pi^2 z^3)) (2048 (3026110 + 282445585 z + 8929586920 z^2 - 251637151954 z^3 + 264868363052 z^4 - 24656435044 z^5 + 41520930 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(9575096505975 Pi^2 z^3)) (1024 Sqrt[1 - z] (2425510 + 213119600 z + 6590849820 z^2 - 136399948714 z^3 + 122706554176 z^4 - 9436144080 z^5 + 7432425 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) - (1/(9575096505975 Pi^2 z^3)) (1024 (2425510 + 212056995 z + 6501569180 z^2 - 176517384034 z^3 + 238247465598 z^4 - 56519824652 z^5 + 2220758265 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