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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.bamm.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 37/8, -(3/2), z] == (1/17632) ((1/(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/(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