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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.bfd1.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, 11/2, -z] == (1024 (Sqrt[z] (319424 + 1363256 z + 1572165 z^2 - 593929 z^3 + 24183919 z^4 + 48052581 z^5 + 40922336 z^6 + 17015040 z^7 + 2838528 z^8) Cos[ArcTan[Sqrt[z]]/4] - (1277696 + 5852304 z + 7887919 z^2 - 803551 z^3 + 3668385 z^4 + 9492251 z^5 + 9028796 z^6 + 4032000 z^7 + 709632 z^8) Sin[ArcTan[Sqrt[z]]/4]))/(23553480093 z^(9/2) (1 + z)^(1/8))








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