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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=5, b>=a > For fixed z and a=5, b=5





http://functions.wolfram.com/07.23.03.4406.01









  


  








Input Form





Hypergeometric2F1[5, 5, -(5/2), -z] == (1/(16384 (1 + z)^(25/2))) (Sqrt[1 + z] (16384 + z (360448 + z (5013504 + z (102236160 + z (-820724865 + 2 z (537679803 + 4 z (-41395091 + 2207902 z))))))) - 45045 z^(7/2) (6435 + 32 z (-715 + z (585 + 4 (-30 + z) z))) 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