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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.bm81.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 47/8, 11/2, -z] == (1024 (Sqrt[z] (6720 - 19160 z + 55833 z^2 - 213627 z^3 + 5460384 z^4 + 22936320 z^5 + 27979776 z^6 + 10813440 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - (8960 - 24240 z + 70419 z^2 - 272985 z^3 + 2502576 z^4 + 14585472 z^5 + 19802112 z^6 + 8110080 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/(3635269715 z^(9/2) (1 + z)^(3/8))










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