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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=-1/8





http://functions.wolfram.com/07.23.03.b514.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(1/8), 1/2, -z] == (1/(80883 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-80883 + 143497 z + 205789 z^2 + 207459 z^3 + 129074 z^4 + 44880 z^5 + 6688 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + 2 Sqrt[z] (44345 + 113478 z + 147964 z^2 + 133402 z^3 + 75339 z^4 + 24112 z^5 + 3344 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