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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.b6f8.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(11/8), -(3/2), z] == (1/1360) ((1360 - 7395 z + 14025 z^2 - 33869 z^3 + 29227 z^4 - 12804 z^5 + 2288 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) (Sqrt[z] (1020 - 5695 z + 28017 z^2 - 47025 z^3 + 35343 z^4 - 13948 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