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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 21/8, 5/2, z] == (1/(575025 z^(3/2))) (16 (Sqrt[z] (609 + 43006 z - 207927 z^2 + 350856 z^3 - 255408 z^4 + 68544 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-812 - 8729 z + 116398 z^2 - 355713 z^3 + 469992 z^4 - 289680 z^5 + 68544 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