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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=5/8, b>=a > For fixed z and a=5/8, b=25/8





http://functions.wolfram.com/07.23.03.c043.01









  


  








Input Form





Hypergeometric2F1[5/8, 25/8, 9/2, -z] == -((1/(3519 z^(7/2) (1 + z)^(5/8))) (256 (Sqrt[z] (400 + 185 z - 65 z^2 + 48 z^3) Cos[(5 ArcTan[Sqrt[z]])/4] - 2 (160 + 44 z - 35 z^2 + 30 z^3) 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