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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=13/4, b>=a > For fixed z and a=13/4, b=4





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









  


  










Input Form





Hypergeometric2F1[13/4, 4, 21/4, z] == -((1/(3072 (-1 + z)^2 z^(17/4))) (221 (2 z^(1/4) (585 - 1098 z + 497 z^2) + 45 (-13 + z) (-1 + z)^2 ArcTan[z^(1/4)] + 45 (-13 + z) (-1 + 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