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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=-19/8, b>=a > For fixed z and a=-19/8, b=41/8





http://functions.wolfram.com/07.23.03.bn3b.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 41/8, 11/2, z] == (1/(2036631025 z^(9/2))) (512 ((1 + Sqrt[z])^(11/4) (-34048 + 93632 Sqrt[z] - 217360 z + 392920 z^(3/2) - 694925 z^2 + 1100176 z^(5/2) - 1825824 z^3 + 2808960 z^(7/2) - 5617920 z^4 + 11827200 z^(9/2) - 12300288 z^5 + 4472832 z^(11/2)) + (1 - Sqrt[z])^(11/4) (34048 + 93632 Sqrt[z] + 217360 z + 392920 z^(3/2) + 694925 z^2 + 1100176 z^(5/2) + 1825824 z^3 + 2808960 z^(7/2) + 5617920 z^4 + 11827200 z^(9/2) + 12300288 z^5 + 4472832 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