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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=-1/3





http://functions.wolfram.com/07.23.03.4658.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(1/3), -(11/2), -z] == (1/(216513 Sqrt[1 + z])) ((216513 + 194643 z - 9342 z^2 + 4256 z^3 - 2704 z^4 + 2240 z^5 - 3328 z^6) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (72171 + 14094 z - 7488 z^2 + 5072 z^3 - 3904 z^4 + 3328 z^5) 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