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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-7/4, b>=a > For fixed z and a=-7/4, b=-1/4





http://functions.wolfram.com/07.23.03.aevx.01









  


  








Input Form





Hypergeometric2F1[-(7/4), -(1/4), 6, -z] == (1/(9035261235 Pi z^5)) (16384 (1 + z)^(1/4) (-2 (2048 + 17760 z + 70707 z^2 + 177996 z^3 + 371826 z^4 - 1058580 z^5 + 3315 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (2048 + 17760 z + 70707 z^2 + 177996 z^3 + 371826 z^4 - 1058580 z^5 + 3315 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-2048 - 16224 z - 58779 z^2 - 135723 z^3 - 276255 z^4 + 149175 z^5 + 6630 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])]))








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