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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=-39/8, b>=a > For fixed z and a=-39/8, b=29/8





http://functions.wolfram.com/07.23.03.bah4.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 29/8, -(9/2), z] == (1/43008) ((1/(1 - Sqrt[z])^(13/4)) (21504 - 69888 Sqrt[z] + 163072 z - 307216 z^(3/2) + 527020 z^2 - 831025 z^(5/2) + 1264848 z^3 - 1843296 z^(7/2) + 2690688 z^4 - 3843840 z^(9/2) + 6150144 z^5 - 8785920 z^(11/2) + 7028736 z^6 - 2162688 z^(13/2)) + (1/(1 + Sqrt[z])^(13/4)) (21504 + 69888 Sqrt[z] + 163072 z + 307216 z^(3/2) + 527020 z^2 + 831025 z^(5/2) + 1264848 z^3 + 1843296 z^(7/2) + 2690688 z^4 + 3843840 z^(9/2) + 6150144 z^5 + 8785920 z^(11/2) + 7028736 z^6 + 2162688 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