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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=6





http://functions.wolfram.com/07.23.03.aeq6.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 6, 7/4, z] == (1/(2097152 (-1 + z)^2 z^(3/4))) (2 z^(3/4) (1038631 - 9544004 z + 25974130 z^2 - 27567540 z^3 + 10094175 z^4) + 9945 (-1 + z)^2 (-3 + 189 z - 945 z^2 + 1015 z^3) ArcTan[z^(1/4)] - 9945 (-1 + z)^2 (-3 + 189 z - 945 z^2 + 1015 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