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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=-3/8, b>=a > For fixed z and a=-3/8, b=1/8





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









  


  








Input Form





Hypergeometric2F1[-(3/8), 1/8, 9/2, -z] == -((1/(1341153 z^(7/2) (1 + z)^(5/8))) (256 (Sqrt[z] (-400 - 2105 z - 4825 z^2 - 13559 z^3 + 1881 z^4) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 (160 + 812 z + 1777 z^2 + 2990 z^3 - 4295 z^4) Sin[(5 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