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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.bllz.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 15/8, 5/2, z] == (1/(2805 z^(3/2))) (8 ((1 + Sqrt[z])^(13/4) (52 - 169 Sqrt[z] + 520 z - 976 z^(3/2) + 832 z^2 - 256 z^(5/2)) - (1 - Sqrt[z])^(13/4) (52 + 169 Sqrt[z] + 520 z + 976 z^(3/2) + 832 z^2 + 256 z^(5/2))))








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