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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=37/8





http://functions.wolfram.com/07.23.03.b5me.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 37/8, 5/2, z] == (1/(1614559485 z^(3/2))) (8 ((1 + Sqrt[z])^(15/4) (134044 - 502665 Sqrt[z] + 7372420 z + 75452080 z^(3/2) - 482000640 z^2 + 299799808 z^(5/2) + 2124559360 z^3 - 3809034240 z^(7/2) + 36044800 z^4 + 4761518080 z^(9/2) - 4109107200 z^5 + 1095761920 z^(11/2)) + (1 - Sqrt[z])^(15/4) (-134044 - 502665 Sqrt[z] - 7372420 z + 75452080 z^(3/2) + 482000640 z^2 + 299799808 z^(5/2) - 2124559360 z^3 - 3809034240 z^(7/2) - 36044800 z^4 + 4761518080 z^(9/2) + 4109107200 z^5 + 1095761920 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