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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/07.23.03.8892.01









  


  










Input Form





Hypergeometric2F1[16/3, 17/3, -(1/2), z] == (1/(786432 (-1 + z)^11)) ((1/Sqrt[1 - z]) (3 (-262144 + 18874368 z + 495351105 z^2 + 1854564584 z^3 + 1789519608 z^4 + 455633760 z^5 + 21015680 z^6) Cos[ArcSin[Sqrt[z]]/3]) - Sqrt[z] (262144 + 210116425 z + 1469420416 z^2 + 2142924056 z^3 + 763440800 z^4 + 48533120 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