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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=-21/4, b>=a > For fixed z and a=-21/4, b=3





http://functions.wolfram.com/07.23.03.a8pj.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 3, 7/4, z] == (1/(4194304 z^(3/4))) (2 z^(3/4) (2073947 - 17631243 z + 50724702 z^2 - 66907750 z^3 + 41838615 z^4 - 10094175 z^5) - 69615 (-1 + z)^4 (1 - 50 z + 145 z^2) ArcTan[z^(1/4)] + 69615 (-1 + z)^4 (1 - 50 z + 145 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