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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.btgm.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 21/8, -(9/2), -z] == (1/(15360 (1 + z)^(49/8))) ((15360 + 85760 z + 190180 z^2 + 200518 z^3 + 75400 z^4 - 49010 z^5 - 41528 z^6 - 9280 z^7) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (3840 + 20240 z + 41535 z^2 + 38647 z^3 + 9425 z^4 + 9657 z^5 + 2320 z^6) 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