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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=-45/8, b>=a > For fixed z and a=-45/8, b=-11/8





http://functions.wolfram.com/07.23.03.b6f5.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(11/8), -(5/2), z] == (1/1088) ((1088 - 3672 z + 2805 z^2 + 2618 z^3 - 11187 z^4 + 8844 z^5 - 2288 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) (Sqrt[z] (-816 + 2873 z - 2431 z^2 - 7249 z^3 + 15323 z^4 - 9988 z^5 + 2288 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