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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=-31/8, b>=a > For fixed z and a=-31/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 37/8, 3/2, z] == (1/(4963959 Sqrt[z])) (2 ((1/(1 - Sqrt[z])^(1/4)) (-60605 + 1256141 Sqrt[z] + 1882896 z - 15487136 z^(3/2) - 9175936 z^2 + 52335360 z^(5/2) + 14350336 z^3 - 66187264 z^(7/2) - 7028736 z^4 + 28114944 z^(9/2)) + (1/(1 + Sqrt[z])^(1/4)) (60605 + 1256141 Sqrt[z] - 1882896 z - 15487136 z^(3/2) + 9175936 z^2 + 52335360 z^(5/2) - 14350336 z^3 - 66187264 z^(7/2) + 7028736 z^4 + 28114944 z^(9/2))))








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