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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=-19/8, b>=a > For fixed z and a=-19/8, b=33/8





http://functions.wolfram.com/07.23.03.bmy9.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 33/8, 9/2, z] == (1/(111088965 z^(7/2))) (128 ((1 + Sqrt[z])^(11/4) (-13376 + 36784 Sqrt[z] - 88616 z + 163229 z^(3/2) - 310156 z^2 + 514976 z^(5/2) - 1123584 z^3 + 2478336 z^(7/2) - 2601984 z^4 + 946176 z^(9/2)) + (1 - Sqrt[z])^(11/4) (13376 + 36784 Sqrt[z] + 88616 z + 163229 z^(3/2) + 310156 z^2 + 514976 z^(5/2) + 1123584 z^3 + 2478336 z^(7/2) + 2601984 z^4 + 946176 z^(9/2))))








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