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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a=1, b>=a > For fixed z and a=1, b=5





http://functions.wolfram.com/07.23.03.3281.01









  


  








Input Form





Hypergeometric2F1[1, 5, -(9/2), -z] == (1/(8064 (1 + z)^(21/2))) (Sqrt[1 + z] (8064 + z (89600 + z (467840 + z (1567488 - z (-4119296 + z (-14114816 + 231 z (17655 + 2 z (1795 + 4 z (73 + 6 z))))))))) - 14549535 z^(11/2) ArcSinh[Sqrt[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