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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=6





http://functions.wolfram.com/07.23.03.a9xt.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 6, 13/4, z] == -((1/(4294967296 z^(9/4))) (3 (2 z^(1/4) (241395 + 5117574 z - 425837387 z^2 + 2643495156 z^3 - 5850475155 z^4 + 5458492710 z^5 - 1830673845 z^6) + 21945 (-1 + z)^2 (-11 - 253 z - 13662 z^2 + 141174 z^3 - 352935 z^4 + 250263 z^5) ArcTan[z^(1/4)] + 21945 (-1 + z)^2 (-11 - 253 z - 13662 z^2 + 141174 z^3 - 352935 z^4 + 250263 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