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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 8 and fixed z and a<0 > For fixed z and a=-47/8, b>=a > For fixed z and a=-47/8, b=23/8





http://functions.wolfram.com/07.23.03.b5dt.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 23/8, 1/2, -z] == (1/(13545 Sqrt[1 + z])) (Sqrt[1 + z] (13545 + 485218 z + 3220433 z^2 + 8553544 z^3 + 10957936 z^4 + 6796224 z^5 + 1642752 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (112297 + 1490554 z + 6488057 z^2 + 13285656 z^3 + 14150704 z^4 + 7617600 z^5 + 1642752 z^6) Sinh[ArcSinh[Sqrt[z]]/4])








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