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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.b588.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 13/8, 11/2, z] == (1/(3759497784075 z^(9/2))) (512 ((1 + Sqrt[z])^(39/4) (-33942272 + 330937152 Sqrt[z] - 1489520240 z + 4146563720 z^(3/2) - 8064604275 z^2 + 11610378416 z^(5/2) - 12511970016 z^3 + 9928114560 z^(7/2) - 5600474880 z^4 + 2117068800 z^(9/2) - 479711232 z^5 + 49201152 z^(11/2)) + (1 - Sqrt[z])^(39/4) (33942272 + 330937152 Sqrt[z] + 1489520240 z + 4146563720 z^(3/2) + 8064604275 z^2 + 11610378416 z^(5/2) + 12511970016 z^3 + 9928114560 z^(7/2) + 5600474880 z^4 + 2117068800 z^(9/2) + 479711232 z^5 + 49201152 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