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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 21/8, -(3/2), -z] == (1/16) ((16 - 125 z + 1664 z^2 + 19104 z^3 + 39424 z^4 + 22400 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 4 Sqrt[z/(1 + z)] (3 - 23 z + 1922 z^2 + 9004 z^3 + 12656 z^4 + 5600 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