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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.caxm.01









  


  










Input Form





Hypergeometric2F1[29/8, 33/8, -(5/2), -z] == (1/(320 (1 + z)^(77/8))) ((320 + 4744 z + 43125 z^2 + 572460 z^3 - 1786170 z^4 + 679540 z^5 - 22099 z^6) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (400 + 6005 z + 55020 z^2 - 1378218 z^3 + 1408300 z^4 - 185635 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