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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.ajbm.01









  


  










Input Form





Hypergeometric2F1[3/4, 6, 19/4, z] == -((1/(2097152 (-1 + z)^2 z^(15/4))) (77 (2 z^(3/4) (385 + 340 z + 430 z^2 - 12636 z^3 + 9945 z^4) + 15 (-1 + z)^2 (77 + 189 z + 351 z^2 + 663 z^3) ArcTan[z^(1/4)] - 15 (-1 + z)^2 (77 + 189 z + 351 z^2 + 663 z^3) 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