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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.c047.01









  


  








Input Form





Hypergeometric2F1[5/8, 25/8, 11/2, -z] == -((1/(133331 z^(9/2) (1 + z)^(5/8))) (1024 (Sqrt[z] (11200 + 17400 z + 4125 z^2 - 935 z^3 + 528 z^4) Cos[(5 ArcTan[Sqrt[z]])/4] - (8960 + 12240 z + 963 z^2 - 1045 z^3 + 660 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