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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=-43/8, b>=a > For fixed z and a=-43/8, b=25/8





http://functions.wolfram.com/07.23.03.b7zw.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 25/8, -(11/2), z] == (1/4595712) ((1/(1 - Sqrt[z])^(13/4)) (2297856 - 7468032 Sqrt[z] + 15419136 z - 26307840 z^(3/2) + 39948640 z^2 - 56391244 z^(5/2) + 75308283 z^3 - 96670704 z^(7/2) + 119845920 z^4 - 144693120 z^(9/2) + 169610496 z^5 - 194168832 z^(11/2) + 209104896 z^6 - 152289280 z^(13/2) + 46858240 z^7) + (1/(1 + Sqrt[z])^(13/4)) (2297856 + 7468032 Sqrt[z] + 15419136 z + 26307840 z^(3/2) + 39948640 z^2 + 56391244 z^(5/2) + 75308283 z^3 + 96670704 z^(7/2) + 119845920 z^4 + 144693120 z^(9/2) + 169610496 z^5 + 194168832 z^(11/2) + 209104896 z^6 + 152289280 z^(13/2) + 46858240 z^7))








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