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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=-11/3, b>=a > For fixed z and a=-11/3, b=17/3





http://functions.wolfram.com/07.23.03.5968.01









  


  










Input Form





Hypergeometric2F1[-(11/3), 17/3, 7/2, z] == (1/(3051020 z^(5/2))) (81 ((1/Sqrt[1 - z]) (Sqrt[z] (-9 - 114 z + 35187 z^2 - 207432 z^3 + 431376 z^4 - 380608 z^5 + 121600 z^6) Cos[ArcSin[Sqrt[z]]/3]) + (27 + 350 z + 7547 z^2 - 96472 z^3 + 286672 z^4 - 319808 z^5 + 121600 z^6) 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