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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=2/3





http://functions.wolfram.com/07.23.03.5239.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 2/3, 7/2, z] == (1/(60911435 z^(5/2))) (81 (-((1/Sqrt[1 - z]) (Sqrt[z] (9216 - 83968 z - 309979 z^2 + 712167 z^3 - 511524 z^4 + 243448 z^5 - 67680 z^6 + 8320 z^7) Cos[ArcSin[Sqrt[z]]/3])) - (-27648 + 243712 z - 1257472 z^2 + 528823 z^3 - 412580 z^4 + 212728 z^5 - 63520 z^6 + 8320 z^7) 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