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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=5/3





http://functions.wolfram.com/07.23.03.6237.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 5/3, -(11/2), z] == (1/(1515591 (-1 + z)^4)) ((1/Sqrt[1 - z]) ((1515591 - 5679639 z + 7312410 z^2 - 3186398 z^3 - 122485 z^4 - 74987 z^5 - 141372 z^6 + 104720 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (505197 - 1537704 z + 1394190 z^2 - 180268 z^3 - 106403 z^4 - 89012 z^5 + 104720 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