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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=-29/8, b>=a > For fixed z and a=-29/8, b=-27/8





http://functions.wolfram.com/07.23.03.bg7m.01









  


  








Input Form





Hypergeometric2F1[-(29/8), -(27/8), 7/2, -z] == (1/(5722505915 z^(5/2) Sqrt[1 + z])) (64 (Sqrt[z] Sqrt[1 + z] (59508 + 1423233 z + 124978889 z^2 - 670036950 z^3 + 719308806 z^4 - 174758939 z^5 + 5730381 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (79344 + 1965417 z + 49037898 z^2 - 402676197 z^3 + 154112492 z^4 + 438696847 z^5 - 159513286 z^6 + 5730381 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