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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=-31/8, b>=a > For fixed z and a=-31/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 37/8, 9/2, z] == (1/(91753109019 z^(7/2))) (128 ((1 + Sqrt[z])^(15/4) (228160 - 855600 Sqrt[z] + 2789256 z - 6734285 z^(3/2) + 16735536 z^2 - 35935200 z^(5/2) + 105409920 z^3 + 101958912 z^(7/2) - 1172920320 z^4 + 2149036032 z^(9/2) - 1581465600 z^5 + 421724160 z^(11/2)) + (1 - Sqrt[z])^(15/4) (-228160 - 855600 Sqrt[z] - 2789256 z - 6734285 z^(3/2) - 16735536 z^2 - 35935200 z^(5/2) - 105409920 z^3 + 101958912 z^(7/2) + 1172920320 z^4 + 2149036032 z^(9/2) + 1581465600 z^5 + 421724160 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