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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/07.23.03.8894.01









  


  








Input Form





Hypergeometric2F1[16/3, 17/3, 1/2, z] == (1/(1835008 (-1 + z)^10)) ((1/Sqrt[1 - z]) ((1835008 + 95256883 z + 533389552 z^2 + 684878312 z^3 + 217532960 z^4 + 12006272 z^5) Cos[ArcSin[Sqrt[z]]/3]) - 3 Sqrt[z] (3506483 + 41355064 z + 84806472 z^2 + 38952928 z^3 + 3034496 z^4) 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