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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=23/4





http://functions.wolfram.com/07.23.03.a7u3.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, -(7/2), -z] == (Sqrt[z] (28514304 z^9 + 280 (1 + Sqrt[1 + z]) - 678912 z^8 (-181 + 21 Sqrt[1 + z]) - 20 z (85 + 92 Sqrt[1 + z]) - 169728 z^7 (-1226 + 299 Sqrt[1 + z]) - 9984 z^6 (-17239 + 6698 Sqrt[1 + z]) - 9 z^3 (6928 + 7517 Sqrt[1 + z]) + z^2 (9152 + 10107 Sqrt[1 + z]) - 132 z^4 (-78677 + 63089 Sqrt[1 + z]) - 312 z^5 (-220687 + 123810 Sqrt[1 + z])))/(560 Sqrt[2] (1 + z)^(7/2) 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