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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=8/3





http://functions.wolfram.com/07.23.03.4790.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 8/3, 3/2, -z] == (1/7082725) (3 ((1/Sqrt[1 + z]) ((2249207 + 22071371 z + 77021124 z^2 + 132232048 z^3 + 121571840 z^4 + 57667584 z^5 + 11128832 z^6) Cosh[ArcSinh[Sqrt[z]]/3]) + (1/Sqrt[z]) ((335104 + 8186371 z + 41516460 z^2 + 89593712 z^3 + 96911360 z^4 + 52103168 z^5 + 11128832 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