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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=4/3, b>=a > For fixed z and a=4/3, b=8/3





http://functions.wolfram.com/07.23.03.7912.01









  


  










Input Form





Hypergeometric2F1[4/3, 8/3, -(9/2), z] == (1/(104976 (-1 + z)^8)) ((1/Sqrt[1 - z]) ((104976 - 981072 z + 4204800 z^2 - 11179840 z^3 + 22119136 z^4 - 51139680 z^5 - 39373841 z^6 + 249458 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (34992 - 302400 z + 1191488 z^2 - 2910080 z^3 + 5406240 z^4 + 21662323 z^5 + 249458 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