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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=29/8





http://functions.wolfram.com/07.23.03.blu1.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 29/8, -(9/2), z] == (1/(3072 (-1 + z)^5)) ((-3072 + 9728 z - 7460 z^2 - 1757 z^3 - 1570 z^4 - 3861 z^5 + 14664 z^6 - 12240 z^7 + 3264 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) (Sqrt[z] (-2304 + 7632 z - 6449 z^2 - 1017 z^3 - 835 z^4 - 9867 z^5 + 20376 z^6 - 13872 z^7 + 3264 z^8) 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