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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=16/3, b>=a > For fixed z and a=16/3, b=17/3





http://functions.wolfram.com/07.23.03.8884.01









  


  










Input Form





Hypergeometric2F1[16/3, 17/3, -(9/2), z] == ((1/Sqrt[1 - z]) (9 (-1337720832 + 29793189888 z - 345398837248 z^2 + 2950822887424 z^3 - 24090095124480 z^4 + 345650738757632 z^5 + 3105066034019791 z^6 + 5033640090386424 z^7 + 2446719685787144 z^8 + 348588711736480 z^9 + 9735726955392 z^10) Cos[ArcSin[Sqrt[z]]/3]) - Sqrt[z] (4013162496 - 86555492352 z + 975595372544 z^2 - 8172437504000 z^3 + 66591109939200 z^4 + 5954381514835157 z^5 + 15457728217165216 z^6 + 10336180741932216 z^7 + 1926101963833376 z^8 + 70130152868992 z^9) Sin[ArcSin[Sqrt[z]]/3])/(12039487488 (-1 + z)^15)










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