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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=5





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 5, 23/4, z] == (1/(1073741824 z^(19/4))) (209 (2 z^(3/4) (-17325 - 15510 z - 19215 z^2 - 34020 z^3 + 2448901 z^4 - 4037670 z^5 + 1740375 z^6) + 315 (-1 + z)^3 (165 + 572 z + 1326 z^2 + 2652 z^3 + 5525 z^4) ArcTan[z^(1/4)] - 315 (-1 + z)^3 (165 + 572 z + 1326 z^2 + 2652 z^3 + 5525 z^4) 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