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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=5/3





http://functions.wolfram.com/07.23.03.4745.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 5/3, 5/2, -z] == (27 (Sqrt[z] (95744 + 2060945 z + 8037151 z^2 + 14991254 z^3 + 16006696 z^4 + 10036000 z^5 + 3454464 z^6 + 505856 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-287232 + 670208 z + 4227877 z^2 + 9810206 z^3 + 12126040 z^4 + 8498464 z^5 + 3201536 z^6 + 505856 z^7) Sinh[ArcSinh[Sqrt[z]]/3]))/(60911435 z^(3/2) Sqrt[1 + z])










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