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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.b4tv.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(19/8), 3/2, -z] == -((1/(690795 Sqrt[z] (1 + z)^(1/8))) (4 (2 Sqrt[z] (-88717 + 882440 z - 1309086 z^2 + 238500 z^3 + 21155 z^4 + 2412 z^5 + 160 z^6) Cos[ArcTan[Sqrt[z]]/4] - (-18941 + 735705 z - 2677690 z^2 + 1576458 z^3 + 10215 z^4 + 1181 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