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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=-17/4, b>=a > For fixed z and a=-17/4, b=5





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 5, 15/4, z] == (1/(3221225472 z^(11/4))) (11 (2 z^(3/4) (-23205 - 218790 z + 143608521 z^2 - 754010180 z^3 + 1412186685 z^4 - 1134585270 z^5 + 333107775 z^6) + 69615 (-1 + z)^3 (1 + 12 z + 150 z^2 - 2900 z^3 + 4785 z^4) ArcTan[z^(1/4)] - 69615 (-1 + z)^3 (1 + 12 z + 150 z^2 - 2900 z^3 + 4785 z^4) 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