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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.b4n3.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(41/8), 1/2, -z] == (1/(18409461 Sqrt[1 + z])) (Sqrt[1 + z] (18409461 - 1129916778 z + 7762541011 z^2 - 12963674988 z^3 + 5955845451 z^4 - 615836938 z^5 + 3739405 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (82987011 - 1129512958 z + 2060804317 z^2 + 1063576476 z^3 - 1879495283 z^4 + 326493122 z^5 - 3739405 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