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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 8 and fixed z and a<0 > For fixed z and a=-47/8, b>=a > For fixed z and a=-47/8, b=29/8





http://functions.wolfram.com/07.23.03.b5hr.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 29/8, 11/2, z] == (1/(751899556815 z^(9/2))) (512 ((1 + Sqrt[z])^(31/4) (-8578816 + 66485824 Sqrt[z] - 268624176 z + 772897704 z^(3/2) - 1780942095 z^2 + 3478039668 z^(5/2) - 5909731872 z^3 + 8776128768 z^(7/2) - 11040936192 z^4 + 11008926720 z^(9/2) - 8032628736 z^5 + 3931766784 z^(11/2) - 1139736576 z^6 + 147062784 z^(13/2)) + (1 - Sqrt[z])^(31/4) (8578816 + 66485824 Sqrt[z] + 268624176 z + 772897704 z^(3/2) + 1780942095 z^2 + 3478039668 z^(5/2) + 5909731872 z^3 + 8776128768 z^(7/2) + 11040936192 z^4 + 11008926720 z^(9/2) + 8032628736 z^5 + 3931766784 z^(11/2) + 1139736576 z^6 + 147062784 z^(13/2))))








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