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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=-13/8, b>=a > For fixed z and a=-13/8, b=47/8





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









  


  










Input Form





Hypergeometric2F1[-(13/8), 47/8, 1/2, -z] == (1/(2139 (1 + z)^(27/8))) ((2139 + 72735 z + 387184 z^2 + 744576 z^3 + 608256 z^4 + 180224 z^5) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (32097 + 230037 z + 499296 z^2 + 436480 z^3 + 135168 z^4) Sin[(3 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