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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=-41/8, b>=a > For fixed z and a=-41/8, b=27/8





http://functions.wolfram.com/07.23.03.b9av.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, 3/2, -z] == -((1/(265031 Sqrt[z] (1 + z)^(7/8))) (4 (Sqrt[z] (-60159 - 523106 z - 1072883 z^2 + 198048 z^3 + 2671360 z^4 + 2715648 z^5 + 851968 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] - (3485 + 226382 z + 1940145 z^2 + 6013872 z^3 + 8582784 z^4 + 5777408 z^5 + 1490944 z^6) Sin[(7 ArcTan[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