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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=-23/4, b>=a > For fixed z and a=-23/4, b=5





http://functions.wolfram.com/07.23.03.a7rx.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 5, 5/4, z] == (1/(268435456 z^(1/4))) (2 z^(1/4) (95353133 - 1617926053 z + 7710795954 z^2 - 15200140410 z^3 + 13284120465 z^4 - 4271572305 z^5) + 504735 (-1 + z)^2 (77 - 2772 z + 18414 z^2 - 39060 z^3 + 25389 z^4) ArcTan[z^(1/4)] + 504735 (-1 + z)^2 (77 - 2772 z + 18414 z^2 - 39060 z^3 + 25389 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