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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=45/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 45/8, 3/2, z] == (4/37) (2 (5 - 80 z + 336 z^2 - 512 z^3 + 256 z^4) Cos[(3 ArcSin[Sqrt[z]])/4] + ((-1 + 50 z - 400 z^2 + 1120 z^3 - 1280 z^4 + 512 z^5) Sin[(3 ArcSin[Sqrt[z]])/4])/Sqrt[(-(-1 + z)) z])








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