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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=-8/3, b>=a > For fixed z and a=-8/3, b=14/3





http://functions.wolfram.com/07.23.03.6374.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 14/3, -(5/2), z] == (1/(8910 (-1 + z)^4)) ((1/Sqrt[1 - z]) ((8910 + 3762 z + 9812 z^2 + 75460 z^3 - 423591 z^4 + 673400 z^5 - 449904 z^6 + 110656 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (2970 + 3344 z + 5852 z^2 - 221025 z^3 + 489944 z^4 - 394576 z^5 + 110656 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