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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=-17/4, b>=a > For fixed z and a=-17/4, b=-15/4





http://functions.wolfram.com/07.23.03.aa87.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(15/4), 1, z] == (1/(765765 Pi)) (2 Sqrt[1 + Sqrt[z]] ((1593269 + 17938092 z + 29799870 z^2 + 9122220 z^3 + 266805 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 16 (-51719 + 51719 Sqrt[z] - 394155 z + 394155 z^(3/2) - 411285 z^2 + 411285 z^(5/2) - 60345 z^3 + 60345 z^(7/2)) 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