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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=-13/8, b>=a > For fixed z and a=-13/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 45/8, 11/2, -z] == (1/(287934185 z^(9/2))) (1024 (4 Sqrt[z] (240 - 490 z + 1071 z^2 - 3042 z^3 + 89556 z^4 + 217872 z^5 + 122400 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((1280 - 1520 z + 3437 z^2 - 11235 z^3 + 88608 z^4 + 732768 z^5 + 1116288 z^6 + 489600 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