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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=4





http://functions.wolfram.com/07.23.03.a9q2.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 4, 1/4, z] == (1/524288) (2 (262144 - 11474119 z + 59381745 z^2 - 94962285 z^3 + 46940355 z^4) - 21945 z^(3/4) (385 - 4180 z + 13110 z^2 - 15732 z^3 + 6417 z^4) ArcTan[z^(1/4)] - 21945 z^(3/4) (385 - 4180 z + 13110 z^2 - 15732 z^3 + 6417 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