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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=-7/8, b>=a > For fixed z and a=-7/8, b=21/8





http://functions.wolfram.com/07.23.03.bth6.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 21/8, -(1/2), -z] == (1/(52 (1 + z)^(17/8))) (-2 (-26 + 65 z + 180 z^2 + 96 z^3) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (13 + 75 z + 48 z^2) 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