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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.bvfg.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 1/8, 11/2, -z] == -((1/(5811663 z^(9/2) (1 + z)^(5/8))) (1024 (Sqrt[z] (-320 - 1960 z - 5159 z^2 - 7885 z^3 - 15861 z^4 + 1881 z^5) Cos[(5 ArcTan[Sqrt[z]])/4] + (256 + 1520 z + 3841 z^2 + 5579 z^3 + 7075 z^4 - 9303 z^5) 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