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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=-47/8, b>=a > For fixed z and a=-47/8, b=-19/8





http://functions.wolfram.com/07.23.03.b4tr.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(19/8), 1/2, -z] == (1/(13545 (1 + z)^(1/8))) ((-(-13545 + 403948 z - 997518 z^2 + 253092 z^3 + 29103 z^4 + 4072 z^5 + 320 z^6)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (112297 - 816772 z + 719742 z^2 + 6972 z^3 + 993 z^4 + 80 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