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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/07.23.03.4879.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 14/3, -(1/2), z] == (1/3) ((1/Sqrt[1 - z]) ((3 + 157 z - 3920 z^2 + 21232 z^3 - 45376 z^4 + 42240 z^5 - 14336 z^6) Cos[ArcSin[Sqrt[z]]/3]) - Sqrt[z] (-1 + 1040 z - 9904 z^2 + 29632 z^3 - 35072 z^4 + 14336 z^5) Sin[ArcSin[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