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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=-1/3





http://functions.wolfram.com/07.23.03.5215.01









  


  








Input Form





Hypergeometric2F1[-(14/3), -(1/3), 7/2, z] == (1/(1035494395 z^(5/2))) (81 ((1/Sqrt[1 - z]) (Sqrt[z] (-18432 + 256000 z + 9877643 z^2 - 8556787 z^3 - 2028576 z^4 + 572968 z^5 - 113696 z^6 + 10880 z^7) Cos[ArcSin[Sqrt[z]]/3]) + (55296 - 751616 z + 8503296 z^2 + 28095193 z^3 - 1781328 z^4 + 520200 z^5 - 108256 z^6 + 10880 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