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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=-1/8, b>=a > For fixed z and a=-1/8, b=27/8





http://functions.wolfram.com/07.23.03.bwx9.01









  


  








Input Form





Hypergeometric2F1[-(1/8), 27/8, -(13/4), z] == (43472 (1 + Sqrt[1 - z]) - 836 (341 + 315 Sqrt[1 - z]) z + 209 (3757 + 3153 Sqrt[1 - z]) z^2 - 209 (5479 + 4047 Sqrt[1 - z]) z^3 + 88825 (7 + 3 Sqrt[1 - z]) z^4 - 85 (5733 + 1373 Sqrt[1 - z]) z^5 + 680 (263 + 30 Sqrt[1 - z]) z^6 - 27200 z^7)/ (43472 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(13/2))








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