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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=1/2 > For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=4





http://functions.wolfram.com/07.27.03.1417.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 1/2}, {4, 4}, z] == (1/(870463318725 Pi^2 z^3)) (2048 (-11839702 - 479236219 z - 4681596367 z^2 + 8752938487 z^3 + 2957196535 z^4 + 378111259 z^5 + 10096836 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(870463318725 Pi^2 z^3)) (2048 Sqrt[1 - z] (-9317182 - 347714297 z - 3224755590 z^2 + 3135899647 z^3 + 965237648 z^4 + 105133341 z^5 + 2162160 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(870463318725 Pi^2 z^3)) (2048 (-11839702 - 479236219 z - 4681596367 z^2 + 8752938487 z^3 + 2957196535 z^4 + 378111259 z^5 + 10096836 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] (-9317182 - 347714297 z - 3224755590 z^2 + 3135899647 z^3 + 965237648 z^4 + 105133341 z^5 + 2162160 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(870463318725 Pi^2 z^3)) (2048 (-4658591 - 171843168 z - 1541793148 z^2 + 3895061831 z^3 + 862199916 z^4 + 107751232 z^5 + 2794479 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