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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=-37/8, b>=a > For fixed z and a=-37/8, b=37/8





http://functions.wolfram.com/07.23.03.bc5w.01









  


  










Input Form





Hypergeometric2F1[-(37/8), 37/8, 7/2, -z] == (1/(35689885 z^(5/2))) (64 (2 Sqrt[z] (222 - 2257 z + 321888 z^2 + 2383791 z^3 + 6404784 z^4 + 8153200 z^5 + 5004800 z^6 + 1196800 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((592 - 5513 z + 109668 z^2 + 2119971 z^3 + 9666166 z^4 + 19861168 z^5 + 21012000 z^6 + 11206400 z^7 + 2393600 z^8) 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