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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=-9/4, b>=a > For fixed z and a=-9/4, b=3





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 3, 3/4, z] == (1/2048) (2 (1024 - 8541 z + 9945 z^2) + 45 z^(1/4) (45 - 234 z + 221 z^2) ArcTan[z^(1/4)] - 45 z^(1/4) (45 - 234 z + 221 z^2) 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