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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=-11/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), -(11/4), 1, z] == -((1/(765765 Pi)) (2 Sqrt[1 + Sqrt[z]] (2 (-771109 - 6189580 z - 6179326 z^2 - 640332 z^3 + 17787 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (776453 - 776453 Sqrt[z] + 3963761 z - 3963761 z^(3/2) + 2123279 z^2 - 2123279 z^(5/2) + 17787 z^3 - 17787 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