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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=-3/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), -(3/8), -(11/2), z] == (1/(135168 (1 - z)^(5/2))) ((-Sqrt[1 - z]) (-135168 + 332544 z - 252768 z^2 + 51727 z^3 + 2737 z^4 + 460 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] - Sqrt[z] (-101376 + 264192 z - 216708 z^2 + 50301 z^3 + 2507 z^4 + 460 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