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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=1/8





http://functions.wolfram.com/07.23.03.b7og.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 1/8, -(9/2), z] == (1/18432) ((1 + Sqrt[z])^(3/4) (9216 - 6912 Sqrt[z] + 7424 z - 6576 z^(3/2) + 7068 z^2 - 6491 z^(5/2) + 7068 z^3 - 6576 z^(7/2) + 7424 z^4 - 6912 z^(9/2) + 9216 z^5) + (1/(1 - Sqrt[z])^(1/4)) (9216 - 2304 Sqrt[z] + 512 z - 848 z^(3/2) + 492 z^2 - 577 z^(5/2) + 577 z^3 - 492 z^(7/2) + 848 z^4 - 512 z^(9/2) + 2304 z^5 - 9216 z^(11/2)))








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