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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=-23/8, b>=a > For fixed z and a=-23/8, b=-19/8





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









  


  










Input Form





Hypergeometric2F1[-(23/8), -(19/8), 9/2, -z] == -((256 (Sqrt[z] (-80 - 1181 z - 10215 z^2 - 1576458 z^3 + 2677690 z^4 - 735705 z^5 + 18941 z^6) Cos[ArcTan[Sqrt[z]]/4] + 2 (160 + 2412 z + 21155 z^2 + 238500 z^3 - 1309086 z^4 + 882440 z^5 - 88717 z^6) Sin[ArcTan[Sqrt[z]]/4]))/(373838517 z^(7/2) (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