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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=5/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 5/8, 7/2, z] == (1/(5635245 z^(5/2))) (64 (Sqrt[z] (4524 - 34307 z + 240989 z^2 - 124813 z^3 + 67555 z^4 - 21900 z^5 + 3120 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-6032 + 50895 z - 242788 z^2 + 296198 z^3 - 156048 z^4 + 78115 z^5 - 23460 z^6 + 3120 z^7) 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