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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=5/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 5/8, -(9/2), -z] == (1/(9216 (1 + z)^(3/2))) (Sqrt[1 + z] (9216 + 7168 z - 1268 z^2 + 723 z^3 - 564 z^4 + 624 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (6912 + 6384 z - 797 z^2 + 363 z^3 - 252 z^4 + 624 z^5) 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