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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 21/8, 1/2, -z] == (1/(25 Sqrt[1 + z])) (Sqrt[1 + z] (25 + 597 z + 2376 z^2 + 3152 z^3 + 1344 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (171 + 1475 z + 3784 z^2 + 3824 z^3 + 1344 z^4) 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