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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=-11/4, b>=a > For fixed z and a=-11/4, b=11/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 11/4, 1, z] == (1/(231 Pi)) (2 Sqrt[1 + Sqrt[z]] ((241 - 940 z + 720 z^2) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 10 (1 - Sqrt[z] + 80 z - 80 z^(3/2) - 144 z^2 + 144 z^(5/2)) 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