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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=-1/4, b>=a > For fixed z and a=-1/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(1/4), 21/4, 11/2, -z] == (16 Sqrt[2] (z^3 (141 - 226 Sqrt[1 + z]) + z (44 - 100 Sqrt[1 + z]) + 112 (-1 + Sqrt[1 + z]) + 1008 z^5 (-1 + 2 Sqrt[1 + z]) + 28 z^4 (-23 + 28 Sqrt[1 + z]) + z^2 (-67 + 131 Sqrt[1 + z])))/ (46189 z^(9/2) Sqrt[1 + z] 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