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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=3





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 3, 19/4, z] == (1/(4194304 z^(15/4))) (77 (2 z^(3/4) (1155 - 1395 z - 1170 z^2 + 25162 z^3 - 29601 z^4 + 9945 z^5) + 45 (-1 + z)^4 (77 + 182 z + 221 z^2) ArcTan[z^(1/4)] - 45 (-1 + z)^4 (77 + 182 z + 221 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