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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=39/8





http://functions.wolfram.com/07.23.03.b5nv.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 39/8, 3/2, -z] == (1/25585) (4 ((6549 + 130825 z + 784052 z^2 + 2088496 z^3 + 2781696 z^4 + 1818880 z^5 + 465920 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - (1/(Sqrt[z] Sqrt[1 + z])) ((611 + 36006 z + 377335 z^2 + 1576068 z^3 + 3281104 z^4 + 3632896 z^5 + 2051840 z^6 + 465920 z^7) 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