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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=7/8





http://functions.wolfram.com/07.23.03.b54a.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 7/8, -(7/2), -z] == (1/256) ((256 - 368 z + 673 z^2 - 1675 z^3 + 9416 z^4 + 41040 z^5 + 27968 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z/(1 + z)] (64 - 72 z + 131 z^2 - 349 z^3 + 26440 z^4 + 55024 z^5 + 27968 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