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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=-43/8, b>=a > For fixed z and a=-43/8, b=-7/8





http://functions.wolfram.com/07.23.03.b7lu.01









  


  








Input Form





Hypergeometric2F1[-(43/8), -(7/8), -(11/2), z] == (1/811008) ((1 + Sqrt[z])^(3/4) (405504 - 304128 Sqrt[z] - 80640 z + 16128 z^(3/2) - 19936 z^2 + 7140 z^(5/2) - 8799 z^3 + 3400 z^(7/2) - 4272 z^4 + 1344 z^(9/2) - 1792 z^5) - (1 - Sqrt[z])^(3/4) (-405504 - 304128 Sqrt[z] + 80640 z + 16128 z^(3/2) + 19936 z^2 + 7140 z^(5/2) + 8799 z^3 + 3400 z^(7/2) + 4272 z^4 + 1344 z^(9/2) + 1792 z^5))








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