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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=-23/4, b>=a > For fixed z and a=-23/4, b=-5/4





http://functions.wolfram.com/07.23.03.9347.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(5/4), 3, -z] == (1/(16476064605 Pi z^2)) (64 (1 + z)^(1/4) (8 (-168245 - 4206125 z + 200919801 z^2 - 319462188 z^3 + 4959825 z^4 + 1052415 z^5 + 168675 z^6 + 13650 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 4 (-168245 - 4206125 z + 200919801 z^2 - 319462188 z^3 + 4959825 z^4 + 1052415 z^5 + 168675 z^6 + 13650 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (672980 + 16319765 z - 300963144 z^2 + 239714670 z^3 + 34160880 z^4 + 7476885 z^5 + 1267500 z^6 + 109200 z^7) 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