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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=-2/3, b>=a > For fixed z and a=-2/3, b=14/3





http://functions.wolfram.com/07.23.03.7195.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 14/3, -(3/2), z] == (1/(19008 (-1 + z)^5)) ((1/Sqrt[1 - z]) ((-19008 + 66176 z + 52800 z^2 - 145027 z^3 + 151186 z^4 - 74760 z^5 + 14560 z^6) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-6336 + 17600 z - 92919 z^2 + 119266 z^3 - 67480 z^4 + 14560 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