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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=-14/3, b>=a > For fixed z and a=-14/3, b=17/3





http://functions.wolfram.com/07.23.03.5453.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 17/3, -(9/2), z] == (1/(6561 (-1 + z)^5)) ((1/Sqrt[1 - z]) ((-6561 - 2106 z - 3519 z^2 - 8588 z^3 - 33055 z^4 - 344058 z^5 + 2659774 z^6 - 5975424 z^7 + 6236256 z^8 - 3161600 z^9 + 632320 z^10) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-2187 - 2241 z - 2918 z^2 - 5170 z^3 - 15015 z^4 + 1195558 z^5 - 3845296 z^6 + 4892576 z^7 - 2845440 z^8 + 632320 z^9) 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