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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 8 and fixed z and a>0 > For fixed z and a=1/8, b>=a > For fixed z and a=1/8, b=47/8





http://functions.wolfram.com/07.23.03.by80.01









  


  








Input Form





Hypergeometric2F1[1/8, 47/8, -(3/2), z] == -((1/(34224 (1 - z)^(15/2))) (Sqrt[1 - z] (-34224 + 257393 z - 973245 z^2 + 1355713 z^3 - 1269487 z^4 + 733722 z^5 - 238480 z^6 + 33440 z^7) Cos[ArcSin[Sqrt[z]]/4] + 2 Sqrt[z] (-4278 + 33511 z - 764936 z^2 + 956170 z^3 - 804314 z^4 + 424391 z^5 - 127600 z^6 + 16720 z^7) Sin[ArcSin[Sqrt[z]]/4]))








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