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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=-11/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), -(11/8), -(3/2), z] == (1/144) ((144 - 519 z + 594 z^2 - 759 z^3 + 220 z^4) Cos[(3 ArcSin[Sqrt[z]])/4] + (Sqrt[z] (108 - 405 z + 946 z^2 - 869 z^3 + 220 z^4) Sin[(3 ArcSin[Sqrt[z]])/4])/Sqrt[1 - 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