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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/07.23.03.4660.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(1/3), -(9/2), -z] == (1/6561) ((1/Sqrt[1 + z]) ((6561 + 6399 z - 450 z^2 + 368 z^3 - 560 z^4 + 2112 z^5 + 3328 z^6) Cosh[ArcSinh[Sqrt[z]]/3]) + Sqrt[z] (-2187 - 594 z + 400 z^2 - 368 z^3 + 448 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