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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=19/8, b>=a > For fixed z and a=19/8, b=37/8





http://functions.wolfram.com/07.23.03.c7ge.01









  


  










Input Form





Hypergeometric2F1[19/8, 37/8, 9/2, z] == (1/(37323 (-1 + z)^2 z^(7/2))) (256 (Sqrt[z] (240 - 341 z - 11 z^2 + 220 z^3) Cos[(3 ArcSin[Sqrt[z]])/4] + ((-320 + 728 z - 363 z^2 - 121 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