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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.aemj.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 5, -(1/4), z] == (1/(16384 (-1 + z)^3)) (-2 (8192 + 344064 z - 2715699 z^2 + 6124573 z^3 - 5499585 z^4 + 1740375 z^5) - 69615 (-1 + z)^3 z^(5/4) (-9 + 25 z) ArcTan[z^(1/4)] + 69615 (-1 + z)^3 z^(5/4) (-9 + 25 z) 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