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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=-13/8, b>=a > For fixed z and a=-13/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 47/8, 11/2, z] == (1/(191329985 z^(9/2))) (512 ((1 + Sqrt[z])^(5/4) (1280 - 1600 Sqrt[z] + 4880 z - 5800 z^(3/2) + 13901 z^2 - 16240 z^(5/2) + 40992 z^3 - 48000 z^(7/2) + 211200 z^4 - 67584 z^(9/2) - 675840 z^5 + 540672 z^(11/2)) + (1 - Sqrt[z])^(5/4) (-1280 - 1600 Sqrt[z] - 4880 z - 5800 z^(3/2) - 13901 z^2 - 16240 z^(5/2) - 40992 z^3 - 48000 z^(7/2) - 211200 z^4 - 67584 z^(9/2) + 675840 z^5 + 540672 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