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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=-1/2, b>=a > For fixed z and a=-1/2, b=7/2





http://functions.wolfram.com/07.23.03.2725.01









  


  








Input Form





Hypergeometric2F1[-(1/2), 7/2, 11/2, -z] == (1/(2560 z^(9/2))) (21 (Sqrt[z] Sqrt[1 + z] (105 + 4 z (20 + z (-11 + 8 z (1 + 3 z)))) - 15 (7 + 10 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