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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=-21/8, b>=a > For fixed z and a=-21/8, b=47/8





http://functions.wolfram.com/07.23.03.bm7h.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 47/8, 3/2, -z] == (1/(60605 Sqrt[z] (1 + z)^(11/8))) (4 (Sqrt[z] (18443 + 286048 z + 1123584 z^2 + 1576960 z^3 + 720896 z^4) Cos[(3 ArcTan[Sqrt[z]])/4] - (4389 + 140880 z + 699776 z^2 + 1103872 z^3 + 540672 z^4) Sin[(3 ArcTan[Sqrt[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