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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 4 and fixed z > For fixed z and a=-5/4, b>=a > For fixed z and a=-5/4, b=6





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









  


  








Input Form





Hypergeometric2F1[-(5/4), 6, -(1/4), z] == (1/16384) ((1/(-1 + z)^5) (2 (-8192 - 204800 z + 1317575 z^2 - 2951200 z^3 + 3171350 z^4 - 1670760 z^5 + 348075 z^6)) + 348075 z^(5/4) ArcTan[z^(1/4)] - 348075 z^(5/4) ArcTanh[z^(1/4)])








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