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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=-31/8, b>=a > For fixed z and a=-31/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 23/8, 9/2, -z] == (1/(243376947 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (11408 + 19251 z - 19251 z^2 + 1036889 z^3 + 2797751 z^4 + 3038904 z^5 + 1548272 z^6 + 307648 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (45632 + 108376 z - 27807 z^2 + 287339 z^3 + 2140651 z^4 + 4142897 z^5 + 3774584 z^6 + 1702096 z^7 + 307648 z^8) 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