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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=-9/4





http://functions.wolfram.com/07.23.03.9248.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(9/4), 1, z] == (1/(1514205 Pi)) (2 Sqrt[1 + Sqrt[z]] ((3090473 + 27502440 z + 27903558 z^2 + 255780 z^3 - 34695 z^4 + 2700 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 4 (-394067 + 394067 Sqrt[z] - 2249994 z + 2249994 z^(3/2) - 1126710 z^2 + 1126710 z^(5/2) + 115740 z^3 - 115740 z^(7/2) - 16335 z^4 + 16335 z^(9/2) + 1350 z^5 - 1350 z^(11/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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