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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=6





http://functions.wolfram.com/07.23.03.ab05.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 6, 11/4, z] == (1/(1073741824 z^(7/4))) (7 (2 z^(3/4) (-25857 + 75805625 z - 665408730 z^2 + 1869082306 z^3 - 2100799701 z^4 + 821665845 z^5) + 1989 (-39 - 1326 z + 69615 z^2 - 464100 z^3 + 1121575 z^4 - 1138830 z^5 + 413105 z^6) ArcTan[z^(1/4)] - 1989 (-39 - 1326 z + 69615 z^2 - 464100 z^3 + 1121575 z^4 - 1138830 z^5 + 413105 z^6) 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