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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/07.23.03.9525.01









  


  








Input Form





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