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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.by84.01









  


  








Input Form





Hypergeometric2F1[1/8, 47/8, -(1/2), z] == (1/(37076 (1 - z)^(13/2))) (2 Sqrt[1 - z] (18538 - 139035 z + 288695 z^2 - 361061 z^3 + 261327 z^4 - 102080 z^5 + 16720 z^6) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (9269 - 502105 z + 884573 z^2 - 960019 z^3 + 620554 z^4 - 220880 z^5 + 33440 z^6) 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