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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=3/4





http://functions.wolfram.com/07.23.03.9524.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 3/4, 1, z] == (1/(504735 Pi)) (2 Sqrt[1 + Sqrt[z]] (-2 (-184197 + 570537 z - 873027 z^2 + 723247 z^3 - 312480 z^4 + 55440 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (136341 - 136341 Sqrt[z] - 901794 z + 901794 z^(3/2) + 1990293 z^2 - 1990293 z^(5/2) - 2096920 z^3 + 2096920 z^(7/2) + 1083600 z^4 - 1083600 z^(9/2) - 221760 z^5 + 221760 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