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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=4





http://functions.wolfram.com/07.27.03.1655.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 3/2}, {4, 4}, z] == (1/(870463318725 Pi^2 z^3)) (2048 (56675990 + 1306186735 z + 3224755590 z^2 + 14369977327 z^3 + 10863548492 z^4 + 2163534213 z^5 + 78612528 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(870463318725 Pi^2 z^3)) (2048 Sqrt[1 - z] (44063390 + 914387670 z + 1845704595 z^2 + 5944419067 z^3 + 3801129420 z^4 + 628454328 z^5 + 17297280 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(870463318725 Pi^2 z^3)) (2048 (56675990 + 1306186735 z + 3224755590 z^2 + 14369977327 z^3 + 10863548492 z^4 + 2163534213 z^5 + 78612528 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(870463318725 Pi^2 z^3)) (1024 Sqrt[1 - z] (44063390 + 914387670 z + 1845704595 z^2 + 5944419067 z^3 + 3801129420 z^4 + 628454328 z^5 + 17297280 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(870463318725 Pi^2 z^3)) (1024 (44063390 + 895509125 z + 1485576225 z^2 + 8752938487 z^3 + 6405996199 z^4 + 1240121115 z^5 + 43630584 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