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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=-37/8, b>=a > For fixed z and a=-37/8, b=-27/8





http://functions.wolfram.com/07.23.03.bb9k.01









  


  










Input Form





Hypergeometric2F1[-(37/8), -(27/8), 9/2, z] == (1/(584513104175 z^(7/2))) (256 ((-Sqrt[z]) (154512 - 3441111 z + 47924472 z^2 - 3238758269 z^3 - 16868078610 z^4 - 19566481233 z^5 - 5959906916 z^6 - 332864763 z^7 + 2211726 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) (2 (-103008 + 2382060 z - 33905727 z^2 + 664218117 z^3 + 4994171853 z^4 + 2433269257 z^5 - 5295027725 z^6 - 2599125377 z^7 - 166985313 z^8 + 1105863 z^9) Sin[(3 ArcSin[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