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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=-3/8





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









  


  










Input Form





Hypergeometric2F1[-(31/8), -(3/8), 7/2, -z] == -((1/(9625077 z^(5/2) (1 + z)^(1/8))) (64 (4 Sqrt[z] (-31 - 372 z - 41336 z^2 + 22622 z^3 + 4143 z^4 + 798 z^5 + 80 z^6) Cos[ArcTan[Sqrt[z]]/4] + (496 + 6107 z + 61628 z^2 - 187966 z^3 - 3908 z^4 - 773 z^5 - 80 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