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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=-7/4, b>=a > For fixed z and a=-7/4, b=4





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 4, 5/4, z] == (-((2 (2479 - 9570 z + 7315 z^2))/(-1 + z)) + (231 (7 - 70 z + 95 z^2) ArcTan[z^(1/4)])/z^(1/4) + (231 (7 - 70 z + 95 z^2) ArcTanh[z^(1/4)])/z^(1/4))/8192








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