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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=45/8





http://functions.wolfram.com/07.23.03.bm5l.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 45/8, 1/2, z] == (1/(1073 (1 - z)^(5/2))) ((-Sqrt[1 - z]) (-1073 + 40477 z - 254840 z^2 + 578672 z^3 - 548800 z^4 + 185600 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (9261 - 122613 z + 487176 z^2 - 829872 z^3 + 641600 z^4 - 185600 z^5) 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