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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=1, b>=a > For fixed z and a=1, b=5/4





http://functions.wolfram.com/07.23.03.ajd0.01









  


  








Input Form





Hypergeometric2F1[1, 5/4, 13/4, z] == -((9 (2 z^(1/4) (-5 + 4 z) - 5 (-1 + z) ArcTan[z^(1/4)] - 5 (-1 + z) ArcTanh[z^(1/4)]))/(8 z^(9/4)))








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