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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=-45/8, b>=a > For fixed z and a=-45/8, b=23/8





http://functions.wolfram.com/07.23.03.b6wa.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 23/8, -(1/2), -z] == (1/(340 (1 + z)^(3/8))) ((-(-340 + 10965 z + 309933 z^2 + 1593504 z^3 + 3158784 z^4 + 2715648 z^5 + 851968 z^6)) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (255 + 140819 z + 942768 z^2 + 2107008 z^3 + 1943552 z^4 + 638976 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