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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=-47/8, b>=a > For fixed z and a=-47/8, b=-41/8





http://functions.wolfram.com/07.23.03.b4mv.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(41/8), -(7/2), -z] == (1/(8960 Sqrt[1 + z])) (Sqrt[1 + z] (8960 + 77360 z + 312323 z^2 + 843164 z^3 + 2571554 z^4 - 2448244 z^5 + 52275 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (2240 + 20040 z + 83827 z^2 + 232796 z^3 - 782862 z^4 - 897356 z^5 + 52275 z^6) Sinh[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