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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=-21/8, b>=a > For fixed z and a=-21/8, b=45/8





http://functions.wolfram.com/07.23.03.bm5y.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 45/8, 9/2, -z] == (1/(287934185 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-720 + 3801 z - 20307 z^2 + 1353336 z^3 + 5807472 z^4 + 7588800 z^5 + 3155200 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (-960 + 4248 z - 22715 z^2 + 281477 z^3 + 3505672 z^4 + 9207472 z^5 + 9166400 z^6 + 3155200 z^7) Sinh[(3 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