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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=-31/8, b>=a > For fixed z and a=-31/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 37/8, -(3/2), z] == (1/36192) ((1/(1 - Sqrt[z])^(9/4)) (18096 - 40716 Sqrt[z] + 241657 z - 488592 z^(3/2) + 3800160 z^2 - 2185344 z^(5/2) - 36884736 z^3 + 56788992 z^(7/2) + 26677248 z^4 - 86261760 z^(9/2) + 38338560 z^5) + (1/(1 + Sqrt[z])^(9/4)) (18096 + 40716 Sqrt[z] + 241657 z + 488592 z^(3/2) + 3800160 z^2 + 2185344 z^(5/2) - 36884736 z^3 - 56788992 z^(7/2) + 26677248 z^4 + 86261760 z^(9/2) + 38338560 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