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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=13/8





http://functions.wolfram.com/07.23.03.b56y.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 13/8, -(11/2), z] == (1/1351680) ((1/(1 - Sqrt[z])^(5/4)) (675840 - 844800 Sqrt[z] + 1278720 z - 1440000 z^(3/2) + 1862880 z^2 - 2032860 z^(5/2) + 2516135 z^3 - 2710480 z^(7/2) + 3353184 z^4 - 3600000 z^(9/2) + 4688640 z^5 - 5068800 z^(11/2) + 8785920 z^6 - 7028736 z^(13/2)) + (1/(1 + Sqrt[z])^(5/4)) (675840 + 844800 Sqrt[z] + 1278720 z + 1440000 z^(3/2) + 1862880 z^2 + 2032860 z^(5/2) + 2516135 z^3 + 2710480 z^(7/2) + 3353184 z^4 + 3600000 z^(9/2) + 4688640 z^5 + 5068800 z^(11/2) + 8785920 z^6 + 7028736 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