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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.blm3.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 15/8, 7/2, z] == (1/(115005 z^(5/2))) (32 ((1 + Sqrt[z])^(17/4) (-624 + 2652 Sqrt[z] - 5629 z + 8840 z^(3/2) - 9360 z^2 + 5440 z^(5/2) - 1280 z^3) + (1 - Sqrt[z])^(17/4) (624 + 2652 Sqrt[z] + 5629 z + 8840 z^(3/2) + 9360 z^2 + 5440 z^(5/2) + 1280 z^3)))








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