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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/07.23.03.4886.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 14/3, 5/2, -z] == (27 (Sqrt[z] (952 + 824809 z + 8534625 z^2 + 32701088 z^3 + 61940912 z^4 + 62608192 z^5 + 32467200 z^6 + 6809600 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-2856 + 129472 z + 3048813 z^2 + 16924704 z^3 + 40684016 z^4 + 48928192 z^5 + 29062400 z^6 + 6809600 z^7) Sinh[ArcSinh[Sqrt[z]]/3]))/(23427475 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