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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=5/4





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









  


  








Input Form





Hypergeometric2F1[-(1/4), 5/4, -(11/2), -z] == (Sqrt[z] (352 (1 + Sqrt[1 + z]) + 221 z^6 (-1 + 2 Sqrt[1 + z]) + 16 z (139 + 128 Sqrt[1 + z]) + 14 z^2 (421 + 351 Sqrt[1 + z]) + 9 z^3 (933 + 686 Sqrt[1 + z]) + z^5 (2887 + 1326 Sqrt[1 + z]) + z^4 (6779 + 4192 Sqrt[1 + z])))/(704 Sqrt[2] (1 + z)^(13/2) 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