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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=-37/8, b>=a > For fixed z and a=-37/8, b=-17/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), -(17/8), -(11/2), z] == (1/450560) ((1 + Sqrt[z])^(5/4) (225280 - 281600 Sqrt[z] - 85760 z + 160000 z^(3/2) - 19040 z^2 + 2380 z^(5/2) - 1955 z^3 + 340 z^(7/2) - 272 z^4) - (1 - Sqrt[z])^(5/4) (-225280 - 281600 Sqrt[z] + 85760 z + 160000 z^(3/2) + 19040 z^2 + 2380 z^(5/2) + 1955 z^3 + 340 z^(7/2) + 272 z^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