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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.caxr.01









  


  








Input Form





Hypergeometric2F1[29/8, 33/8, -(3/2), -z] == (1/(16 (1 + z)^(69/8))) ((16 + 285 z + 5460 z^2 - 23730 z^3 + 11460 z^4 - 451 z^5) Cos[(5 ArcTan[Sqrt[z]])/4] - 4 Sqrt[z] (-5 - 90 z + 3948 z^2 - 5310 z^3 + 865 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