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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=-41/8, b>=a > For fixed z and a=-41/8, b=11/8





http://functions.wolfram.com/07.23.03.b939.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 11/8, 11/2, z] == (1/(1037233691 z^(9/2))) (512 ((1 + Sqrt[z])^(37/4) (-10496 + 97088 Sqrt[z] - 407376 z + 1031560 z^(3/2) - 1768945 z^2 + 2166276 z^(5/2) - 1901088 z^3 + 1165056 z^(7/2) - 472320 z^4 + 113664 z^(9/2) - 12288 z^5) + (1 - Sqrt[z])^(37/4) (10496 + 97088 Sqrt[z] + 407376 z + 1031560 z^(3/2) + 1768945 z^2 + 2166276 z^(5/2) + 1901088 z^3 + 1165056 z^(7/2) + 472320 z^4 + 113664 z^(9/2) + 12288 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