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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=21/8





http://functions.wolfram.com/07.23.03.b5c9.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 21/8, 1/2, z] == (1/269610) ((1 + Sqrt[z])^(15/4) (134805 - 932784 Sqrt[z] - 1355040 z + 14270080 z^(3/2) - 19303680 z^2 - 13854720 z^(5/2) + 50778112 z^3 - 40550400 z^(7/2) + 10813440 z^4) + (1 - Sqrt[z])^(15/4) (134805 + 932784 Sqrt[z] - 1355040 z - 14270080 z^(3/2) - 19303680 z^2 + 13854720 z^(5/2) + 50778112 z^3 + 40550400 z^(7/2) + 10813440 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