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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, b>=a > For fixed z and a=3, b=15/4





http://functions.wolfram.com/07.23.03.am2h.01









  


  










Input Form





Hypergeometric2F1[3, 15/4, 23/4, z] == -((1/(1792 (-1 + z) z^(19/4))) (95 (2 z^(3/4) (1155 - 1199 z + 128 z^2) + 231 (15 - 22 z + 7 z^2) ArcTan[z^(1/4)] - 231 (15 - 22 z + 7 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