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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=-41/8





http://functions.wolfram.com/07.23.03.b4nc.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(41/8), 11/2, z] == (1024 (Sqrt[z] (3823168 - 108482392 z + 1747247513 z^2 - 24765048616 z^3 + 30574975311804 z^4 + 171982847124664 z^5 + 273978125067222 z^6 + 153183025013416 z^7 + 29123507175036 z^8 + 1436976645792 z^9 + 4693569177 z^10) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((-15292672 + 444443280 z - 7286062153 z^2 + 103830134177 z^3 - 2498591542084 z^4 - 26308118651628 z^5 - 39552636426478 z^6 + 16339397686414 z^7 + 38922071761420 z^8 + 12147418837140 z^9 + 848791543407 z^10 + 4693569177 z^11) Sin[ArcSin[Sqrt[z]]/4])))/(30686427408085251 z^(9/2))










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