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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=-21/8, b>=a > For fixed z and a=-21/8, b=15/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 15/8, -(3/2), z] == (1/32) ((16 + 12 Sqrt[z] + 51 z + 40 z^(3/2) + 240 z^2 - 960 z^(5/2) - 1280 z^3)/(1 + Sqrt[z])^(3/4) + (16 - 12 Sqrt[z] + 51 z - 40 z^(3/2) + 240 z^2 + 960 z^(5/2) - 1280 z^3)/(1 - Sqrt[z])^(3/4))








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