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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.bbvf.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 21/8, -(1/2), -z] == (-(-1 + 24 z + 414 z^2 + 1396 z^3 + 1680 z^4 + 672 z^5)) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (1/4) Sqrt[z/(1 + z)] (-3 + 541 z + 3776 z^2 + 8608 z^3 + 8064 z^4 + 2688 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