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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=5/3





http://functions.wolfram.com/07.23.03.7872.01









  


  








Input Form





Hypergeometric2F1[4/3, 5/3, -(9/2), z] == (1/(52488 (-1 + z)^7)) ((1/Sqrt[1 - z]) (3 (-17496 + 140832 z - 506400 z^2 + 1087936 z^3 - 1640208 z^4 + 2597760 z^5 + 1152245 z^6) Cos[ArcSin[Sqrt[z]]/3]) - Sqrt[z] (17496 - 128520 z + 417304 z^2 - 803496 z^3 + 1102440 z^4 + 2209445 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