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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=-23/4, b>=a > For fixed z and a=-23/4, b=7/4





http://functions.wolfram.com/07.23.03.9629.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 7/4, -(11/2), -z] == (Sqrt[z] (54912 z^7 + 3168 (1 + Sqrt[1 + z]) - 2112 z^6 (-25 + 13 Sqrt[1 + z]) - 144 z (10 + 21 Sqrt[1 + z]) - 48 z^5 (61 + 121 Sqrt[1 + z]) + 8 z^4 (211 + 513 Sqrt[1 + z]) + 2 z^2 (605 + 1559 Sqrt[1 + z]) - z^3 (1292 + 3427 Sqrt[1 + z])))/ (6336 Sqrt[2] (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