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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=37/8





http://functions.wolfram.com/07.23.03.ban9.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 37/8, 7/2, z] == (1/(5489502249 z^(5/2))) (32 ((1 + Sqrt[z])^(15/4) (34224 - 128340 Sqrt[z] + 662377 z - 1925100 z^(3/2) + 11293920 z^2 + 51428608 z^(5/2) - 350972160 z^3 + 465552384 z^(7/2) + 296243200 z^4 - 1146224640 z^(9/2) + 919142400 z^5 - 245104640 z^(11/2)) - (1 - Sqrt[z])^(15/4) (34224 + 128340 Sqrt[z] + 662377 z + 1925100 z^(3/2) + 11293920 z^2 - 51428608 z^(5/2) - 350972160 z^3 - 465552384 z^(7/2) + 296243200 z^4 + 1146224640 z^(9/2) + 919142400 z^5 + 245104640 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