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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=-16/3





http://functions.wolfram.com/07.23.03.4537.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(16/3), -(11/2), z] == (1/216513) ((1/Sqrt[1 - z]) ((216513 - 1310013 z + 3309228 z^2 - 4471856 z^3 + 3416064 z^4 - 1404672 z^5 + 244736 z^6) Cos[ArcSin[Sqrt[z]]/3]) - 9 Sqrt[z] (-8019 + 42876 z - 93008 z^2 + 103168 z^3 - 59648 z^4 + 15360 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