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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=5/3





http://functions.wolfram.com/07.23.03.4744.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 5/3, 5/2, z] == (1/(60911435 z^(3/2))) (27 ((1/Sqrt[1 - z]) (Sqrt[z] (-95744 + 2060945 z - 8037151 z^2 + 14991254 z^3 - 16006696 z^4 + 10036000 z^5 - 3454464 z^6 + 505856 z^7) Cos[ArcSin[Sqrt[z]]/3]) + (287232 + 670208 z - 4227877 z^2 + 9810206 z^3 - 12126040 z^4 + 8498464 z^5 - 3201536 z^6 + 505856 z^7) 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