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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=15/8





http://functions.wolfram.com/07.23.03.bf8i.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 15/8, -(11/2), -z] == (1/(946176 (1 + z)^(7/2))) (Sqrt[1 + z] (946176 + 1618176 z + 276640 z^2 - 157859 z^3 + 147823 z^4 - 181038 z^5 + 400400 z^6 + 434720 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - 2 Sqrt[z] (118272 + 239232 z + 82082 z^2 - 26637 z^3 + 17212 z^4 - 17589 z^5 + 308880 z^6 + 217360 z^7) 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