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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=29/8





http://functions.wolfram.com/07.23.03.bgz4.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 29/8, -(9/2), -z] == (1/9216) ((1/(1 + z)^4) (4 (2304 + 3136 z - 905 z^2 + 798 z^3 - 1143 z^4 + 4446 z^5 + 23868 z^6 + 25296 z^7 + 8160 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4]) - (1/(1 + z)^(9/2)) (Sqrt[z] (6912 + 10416 z - 1973 z^2 + 1590 z^3 - 2565 z^4 + 54912 z^5 + 141984 z^6 + 117504 z^7 + 32640 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