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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=2





http://functions.wolfram.com/07.23.03.a9j1.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 2, 13/4, z] == -((1/(14680064 z^(9/4))) (3 (-2 z^(1/4) (109725 - 131670 z + 1045611 z^2 - 2060436 z^3 + 1933155 z^4 - 900790 z^5 + 168245 z^6) + 21945 (-1 + z)^6 (5 + 23 z) ArcTan[z^(1/4)] + 21945 (-1 + z)^6 (5 + 23 z) 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