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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=27/8, b>=a > For fixed z and a=27/8, b=37/8





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









  


  










Input Form





Hypergeometric2F1[27/8, 37/8, -(1/2), z] == (1/(28652 (1 - z)^(17/2))) (2 Sqrt[1 - z] (14326 - 565877 z - 5996816 z^2 - 6839662 z^3 - 1002478 z^4 + 13547 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (21489 - 3181454 z - 17550802 z^2 - 15636384 z^3 - 2018503 z^4 + 27094 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