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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=-39/8, b>=a > For fixed z and a=-39/8, b=7/8





http://functions.wolfram.com/07.23.03.ba53.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 7/8, 9/2, -z] == (1/(5435418483 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (57040 + 492683 z + 1929378 z^2 + 26274186 z^3 + 25442944 z^4 + 17470691 z^5 + 7787318 z^6 + 2026640 z^7 + 234080 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - 2 (114080 + 1063796 z + 4526837 z^2 + 12660741 z^3 + 18612882 z^4 + 16661198 z^5 + 10562825 z^6 + 4385689 z^7 + 1071840 z^8 + 117040 z^9) 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