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





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 21/8, -(7/2), -z] == (1/(1280 (1 + z)^(9/8))) ((1280 - 3280 z + 8101 z^2 - 24752 z^3 + 163200 z^4 + 743424 z^5 + 540672 z^6) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-320 + 920 z - 2339 z^2 + 7008 z^3 + 143616 z^4 + 135168 z^5) Sin[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