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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=-39/8, b>=a > For fixed z and a=-39/8, b=-11/8





http://functions.wolfram.com/07.23.03.b9wr.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(11/8), 5/2, -z] == (1/(4375035 z^(3/2) (1 + z)^(1/8))) (16 (Sqrt[z] (403 + 288124 z - 859590 z^2 + 234036 z^3 + 27979 z^4 + 4008 z^5 + 320 z^6) Cos[ArcTan[Sqrt[z]]/4] - (1612 + 59241 z - 658396 z^2 + 646830 z^3 + 6696 z^4 + 977 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