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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=-47/8, b>=a > For fixed z and a=-47/8, b=-3/8





http://functions.wolfram.com/07.23.03.b506.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(3/8), 9/2, z] == (1/(27177092415 z^(7/2))) (128 ((1 + Sqrt[z])^(43/4) (-39104 + 420368 Sqrt[z] - 1901432 z + 4387591 z^(3/2) - 4753580 z^2 + 2942576 z^(5/2) - 1094912 z^3 + 231168 z^(7/2) - 21504 z^4) + (1 - Sqrt[z])^(43/4) (39104 + 420368 Sqrt[z] + 1901432 z + 4387591 z^(3/2) + 4753580 z^2 + 2942576 z^(5/2) + 1094912 z^3 + 231168 z^(7/2) + 21504 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