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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=-21/8, b>=a > For fixed z and a=-21/8, b=39/8





http://functions.wolfram.com/07.23.03.bm22.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 39/8, 7/2, -z] == (1/(7454415 z^(5/2) (1 + z)^(3/8))) (64 (2 Sqrt[z] (234 - 1911 z + 84776 z^2 + 457920 z^3 + 691200 z^4 + 319488 z^5) Cos[(3 ArcTan[Sqrt[z]])/4] - (624 - 5005 z + 70005 z^2 + 561888 z^3 + 966912 z^4 + 479232 z^5) 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