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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=-29/8, b>=a > For fixed z and a=-29/8, b=-19/8





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









  


  










Input Form





Hypergeometric2F1[-(29/8), -(19/8), 5/2, z] == (1/(37272075 z^(3/2))) (16 ((-Sqrt[z]) (21489 - 3181454 z - 17550802 z^2 - 15636384 z^3 - 2018503 z^4 + 27094 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) (2 (-14326 + 580203 z + 5430939 z^2 + 842846 z^3 - 5837184 z^4 - 1016025 z^5 + 13547 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