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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.a9tk.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 5, -(15/4), z] == (1/135168) ((1/(-1 + z)^4) (2 (67584 + 157696 z + 444416 z^2 + 1714176 z^3 + 13142016 z^4 - 108877239 z^5 + 213974865 z^6 - 167644125 z^7 + 46940355 z^8)) - 140821065 z^(19/4) ArcTan[z^(1/4)] - 140821065 z^(19/4) 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