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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=-17/8





http://functions.wolfram.com/07.23.03.bl5a.01









  


  








Input Form





Hypergeometric2F1[-(21/8), -(17/8), -(9/2), z] == (1/6144) ((3072 - 2304 Sqrt[z] - 4096 z + 2736 z^(3/2) + 1284 z^2 - 641 z^(5/2) - 51 z^3)/(1 - Sqrt[z])^(3/4) + (3072 + 2304 Sqrt[z] - 4096 z - 2736 z^(3/2) + 1284 z^2 + 641 z^(5/2) - 51 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