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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.aeqe.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 6, 23/4, z] == (1/(4294967296 z^(19/4))) (209 (2 z^(3/4) (-3465 - 9570 z - 24255 z^2 - 72828 z^3 + 9893065 z^4 - 19909890 z^5 + 10094175 z^6) + 315 (-1 + z)^2 (-33 - 143 z - 442 z^2 - 1326 z^3 - 5525 z^4 + 32045 z^5) ArcTan[z^(1/4)] - 315 (-1 + z)^2 (-33 - 143 z - 442 z^2 - 1326 z^3 - 5525 z^4 + 32045 z^5) 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