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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=13/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 13/8, -(19/4), z] == (1/(33440 2^(3/4) (-1 + z)^6)) ((1 + Sqrt[1 - z])^(3/4) (16720 - 97900 z + 237897 z^2 - 307183 z^3 + 224035 z^4 + 27807 z^5 + (16720 - 106260 z + 284757 z^2 - 414939 z^3 + 353355 z^4 - 305877 z^5 + 37076 z^6)/Sqrt[1 - z]))








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