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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=-3/4, b>=a > For fixed z and a=-3/4, b=3





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









  


  








Input Form





Hypergeometric2F1[-(3/4), 3, 13/4, z] == -((1/(8192 z^(9/4))) (15 (2 z^(1/4) (15 + 30 z - 77 z^2) + 3 (-5 - 9 z - 63 z^2 + 77 z^3) ArcTan[z^(1/4)] + 3 (-5 - 9 z - 63 z^2 + 77 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