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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=-19/8, b>=a > For fixed z and a=-19/8, b=-7/8





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









  


  










Input Form





Hypergeometric2F1[-(19/8), -(7/8), 9/2, -z] == (1/(11762361 z^(7/2) (1 + z)^(5/8))) (256 (Sqrt[z] (80 + 825 z + 4536 z^2 + 73758 z^3 - 82268 z^4 + 6993 z^5 + 252 z^6) Cos[(5 ArcTan[Sqrt[z]])/4] - (64 + 648 z + 3507 z^2 + 21588 z^3 - 104598 z^4 + 36028 z^5 + 315 z^6) 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