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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=9/4, b>=a > For fixed z and a=9/4, b=5





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









  


  








Input Form





Hypergeometric2F1[9/4, 5, 21/4, z] == (1/(131072 (-1 + z)^2 z^(17/4))) (663 (-2 z^(1/4) (585 - 783 z + 35 z^2 + 35 z^3) + 15 (-1 + z)^2 (39 + 18 z + 7 z^2) ArcTan[z^(1/4)] + 15 (-1 + z)^2 (39 + 18 z + 7 z^2) 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