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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=47/8





http://functions.wolfram.com/07.23.03.c7oq.01









  


  








Input Form





Hypergeometric2F1[19/8, 47/8, 5/2, -z] == (1/(324415 z^(3/2) (1 + z)^(43/8))) (16 (Sqrt[z] (-513 + 13810 z + 5259 z^2 + 1896 z^3 + 320 z^4) Cos[(3 ArcTan[Sqrt[z]])/4] + (684 + 8721 z - 3750 z^2 - 1387 z^3 - 240 z^4) Sin[(3 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