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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=-31/8, b>=a > For fixed z and a=-31/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, 5/2, -z] == (1/(5257395 z^(3/2) (1 + z)^(1/8))) (16 (Sqrt[z] (-713 + 337366 z + 1445943 z^2 + 2274848 z^3 + 1573632 z^4 + 405504 z^5) Cos[ArcTan[Sqrt[z]]/4] - 4 (-713 + 8556 z + 60464 z^2 + 115997 z^3 + 90432 z^4 + 25344 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