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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=-5/4, b>=a > For fixed z and a=-5/4, b=17/4





http://functions.wolfram.com/07.23.03.ag8j.01









  


  








Input Form





Hypergeometric2F1[-(5/4), 17/4, 3/2, -z] == (Sqrt[2] (11 (-1 + Sqrt[1 + z]) + 144 z^3 (-1 + 2 Sqrt[1 + z]) + 4 z^2 (-67 + 116 Sqrt[1 + z]) + z (-133 + 186 Sqrt[1 + z])))/ (117 Sqrt[z] (1 + z)^(3/2) Sqrt[-1 + 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