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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.a7ru.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 5, 1/4, z] == (1/33554432) (33554432 - 2381905070 z + 20022619824 z^2 - 56652741180 z^3 + 64589928480 z^4 - 25629433830 z^5 + 504735 z^(3/4) (-1463 + 24035 z - 117990 z^2 + 243846 z^3 - 224595 z^4 + 76167 z^5) ArcTan[z^(1/4)] + 504735 z^(3/4) (-1463 + 24035 z - 117990 z^2 + 243846 z^3 - 224595 z^4 + 76167 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