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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=-9/2, b>=a > For fixed z and a=-9/2, b=-9/2





http://functions.wolfram.com/07.23.03.1139.01









  


  








Input Form





Hypergeometric2F1[-(9/2), -(9/2), -(1/2), -z] == (1/256) (Sqrt[1 + z] (256 + z (10240 + z (-99021 + 4 (25648 - 3407 z) z))) + 315 z^(3/2) (-105 + 2 z (189 + 4 z (-27 + 2 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