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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=9/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 9/4, 1, z] == (1/(9945 Pi)) (2 Sqrt[1 + Sqrt[z]] ((26323 - 205755 z + 466872 z^2 - 420336 z^3 + 133056 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 2 (8189 - 8189 Sqrt[z] - 49497 z + 49497 z^(3/2) + 74592 z^2 - 74592 z^(5/2) - 33264 z^3 + 33264 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