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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/07.23.03.4776.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 8/3, -(11/2), -z] == (1/(1082565 (1 + z)^(5/2))) ((1082565 - 207765 z + 214515 z^2 - 287735 z^3 + 486924 z^4 - 1156272 z^5 + 6456320 z^6 + 19728384 z^7 + 11128832 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-360855 + 323190 z - 326655 z^2 + 364100 z^3 - 464048 z^4 + 765440 z^5 + 14163968 z^6 + 11128832 z^7) 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