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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=-21/4, b>=a > For fixed z and a=-21/4, b=4





http://functions.wolfram.com/07.23.03.a8sn.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 4, -(5/4), z] == (1/163840) (2 (81920 + 1376256 z + 58490880 z^2 - 471022825 z^3 + 948852450 z^4 - 555179625 z^5) - 69615 z^(9/4) (-1547 + 8925 z - 15225 z^2 + 7975 z^3) ArcTan[z^(1/4)] + 69615 z^(9/4) (-1547 + 8925 z - 15225 z^2 + 7975 z^3) 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