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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=29/8, b>=a > For fixed z and a=29/8, b=33/8





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









  


  








Input Form





Hypergeometric2F1[29/8, 33/8, -(1/2), -z] == (1/(4 (1 + z)^(61/8))) ((4 + 147 z - 1015 z^2 + 665 z^3 - 33 z^4) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (5 - 553 z + 1071 z^2 - 227 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