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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=-11/4, b>=a > For fixed z and a=-11/4, b=5





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 5, 1/4, z] == (1/(131072 (-1 + z)^2)) (2 (65536 - 2045787 z + 8267565 z^2 - 10839785 z^3 + 4542615 z^4) - 21945 (-1 + z)^2 z^(3/4) (77 - 506 z + 621 z^2) ArcTan[z^(1/4)] - 21945 (-1 + z)^2 z^(3/4) (77 - 506 z + 621 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