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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.bc5z.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 37/8, 9/2, -z] == (1/(596530935 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-1776 + 6623 z - 33300 z^2 + 2751003 z^3 + 16120590 z^4 + 35611056 z^5 + 38409120 z^6 + 20432640 z^7 + 4308480 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 2 (-1184 + 3404 z - 18389 z^2 + 261405 z^3 + 4040073 z^4 + 15116859 z^5 + 26265408 z^6 + 24043440 z^7 + 11293440 z^8 + 2154240 z^9) 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