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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=-19/4, b>=a > For fixed z and a=-19/4, b=5





http://functions.wolfram.com/07.23.03.a9ts.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 5, 1/4, z] == (1/8388608) (8388608 - 475862410 z + 3016886310 z^2 - 5726723310 z^3 + 3285824850 z^4 - 21945 z^(3/4) (7315 - 96140 z + 353970 z^2 - 487692 z^3 + 224595 z^4) ArcTan[z^(1/4)] - 21945 z^(3/4) (7315 - 96140 z + 353970 z^2 - 487692 z^3 + 224595 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