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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=-11/8, b>=a > For fixed z and a=-11/8, b=41/8





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









  


  










Input Form





Hypergeometric2F1[-(11/8), 41/8, -(9/2), z] == (1/18432) ((1/(1 - Sqrt[z])^(33/4)) (9216 - 76032 Sqrt[z] + 290048 z - 693264 z^(3/2) + 1189980 z^2 - 1578841 z^(5/2) + 1665972 z^3 - 1386528 z^(7/2) + 870144 z^4 - 380160 z^(9/2) + 101376 z^5 - 12288 z^(11/2)) + (1/(1 + Sqrt[z])^(33/4)) (9216 + 76032 Sqrt[z] + 290048 z + 693264 z^(3/2) + 1189980 z^2 + 1578841 z^(5/2) + 1665972 z^3 + 1386528 z^(7/2) + 870144 z^4 + 380160 z^(9/2) + 101376 z^5 + 12288 z^(11/2)))










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