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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.b50p.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(1/8), -(9/2), -z] == (1/9216) (2 (4608 + 896 z - 482 z^2 + 447 z^3 - 605 z^4 + 1760 z^5 + 3344 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z/(1 + z)] (2304 + 1168 z - 407 z^2 + 267 z^3 - 286 z^4 + 6864 z^5 + 6688 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