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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=21/8





http://functions.wolfram.com/07.23.03.bfc5.01









  


  










Input Form





Hypergeometric2F1[-(31/8), 21/8, -(3/2), z] == (1/416) ((1/(1 - Sqrt[z])^(1/4)) (208 - 52 Sqrt[z] + 1391 z - 364 z^(3/2) + 14560 z^2 + 16128 z^(5/2) - 91392 z^3 - 21504 z^(7/2) + 86016 z^4) + (1/(1 + Sqrt[z])^(1/4)) (208 + 52 Sqrt[z] + 1391 z + 364 z^(3/2) + 14560 z^2 - 16128 z^(5/2) - 91392 z^3 + 21504 z^(7/2) + 86016 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