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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=13/4





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









  


  








Input Form





Hypergeometric2F1[-(1/4), 13/4, -(5/2), -z] == (Sqrt[z] (20 (1 + Sqrt[1 + z]) + 20 z^5 (-1 + 2 Sqrt[1 + z]) + z (101 + 91 Sqrt[1 + z]) + z^2 (193 + 150 Sqrt[1 + z]) + z^4 (-101 + 192 Sqrt[1 + z]) + z^3 (-193 + 343 Sqrt[1 + z])))/ (40 Sqrt[2] (1 + z)^(11/2) 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