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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 3 and fixed z > For fixed z and a=-17/3, b>=a > For fixed z and a=-17/3, b=14/3





http://functions.wolfram.com/07.23.03.4884.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 14/3, 3/2, -z] == (1/28675) (3 ((1/Sqrt[1 + z]) ((9241 + 157401 z + 832944 z^2 + 2005040 z^3 + 2453056 z^4 + 1491200 z^5 + 358400 z^6) Cosh[ArcSinh[Sqrt[z]]/3]) + (1/Sqrt[z]) ((952 + 45789 z + 382320 z^2 + 1225712 z^3 + 1841856 z^4 + 1312000 z^5 + 358400 z^6) Sinh[ArcSinh[Sqrt[z]]/3])))








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