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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=27/8, b>=a > For fixed z and a=27/8, b=45/8





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









  


  










Input Form





Hypergeometric2F1[27/8, 45/8, -(1/2), z] == -((1/(1060124 (1 - z)^(19/2))) (Sqrt[1 - z] (-1060124 + 50090859 z + 666710184 z^2 + 1019021122 z^3 + 226289088 z^4 - 6055509 z^5 + 270940 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (-795093 + 151829825 z + 1028257706 z^2 + 1204366706 z^3 + 229282975 z^4 - 6190979 z^5 + 270940 z^6) 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