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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=-29/8, b>=a > For fixed z and a=-29/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 47/8, 7/2, z] == (1/(365266335 z^(5/2))) (32 ((1 + Sqrt[z])^(5/4) (8816 - 11020 Sqrt[z] + 133893 z - 165300 z^(3/2) + 2909280 z^2 + 2102016 z^(5/2) - 43357440 z^3 + 19258368 z^(7/2) + 116428800 z^4 - 80609280 z^(9/2) - 83558400 z^5 + 66846720 z^(11/2)) + (1 - Sqrt[z])^(5/4) (-8816 - 11020 Sqrt[z] - 133893 z - 165300 z^(3/2) - 2909280 z^2 + 2102016 z^(5/2) + 43357440 z^3 + 19258368 z^(7/2) - 116428800 z^4 - 80609280 z^(9/2) + 83558400 z^5 + 66846720 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