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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=-3/4, b>=a > For fixed z and a=-3/4, b=6





http://functions.wolfram.com/07.23.03.ah4c.01









  


  








Input Form





Hypergeometric2F1[-(3/4), 6, 1/4, z] == (1/81920) ((2 (-40960 + 437345 z - 1157176 z^2 + 1367810 z^3 - 769120 z^4 + 168245 z^5))/(-1 + z)^5 - 504735 z^(3/4) ArcTan[z^(1/4)] - 504735 z^(3/4) 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