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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=-1/8





http://functions.wolfram.com/07.23.03.bf0o.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(1/8), 9/2, -z] == -((256 (Sqrt[z] Sqrt[1 + z] (-57040 - 601059 z - 3311172 z^2 - 377731626 z^3 + 57347732 z^4 + 12783693 z^5 + 2427880 z^6 + 232232 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - 4 (-57040 - 640274 z - 3719721 z^2 - 21550425 z^3 - 5465496 z^4 + 15862652 z^5 + 3492151 z^6 + 635999 z^7 + 58058 z^8) Sinh[ArcSinh[Sqrt[z]]/4]))/(91753109019 z^(7/2) Sqrt[1 + 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