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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=1, b>=a > For fixed z and a=1, b=11/4





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









  


  










Input Form





Hypergeometric2F1[1, 11/4, 19/4, z] == -((1/(56 z^(15/4))) (5 (2 z^(3/4) (-77 + 44 z + 12 z^2) + 231 (-1 + z) ArcTan[z^(1/4)] - 231 (-1 + z) 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