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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=-27/8





http://functions.wolfram.com/07.23.03.bb9d.01









  


  








Input Form





Hypergeometric2F1[-(37/8), -(27/8), 1/2, -z] == (1/(9775 Sqrt[1 + z])) (Sqrt[1 + z] (9775 - 451494 z + 1978674 z^2 - 1621936 z^3 + 200583 z^4 + 2622 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 2 Sqrt[z] (95721 - 595259 z + 21434 z^2 + 612778 z^3 - 100947 z^4 - 1311 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