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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=13/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 13/8, -(3/2), -z] == (1/(48 Sqrt[1 + z])) (Sqrt[1 + z] (48 - 227 z + 2217 z^2 + 20904 z^3 + 35984 z^4 + 17472 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (36 - 165 z + 9263 z^2 + 36712 z^3 + 44720 z^4 + 17472 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